difference Between HCF and LCM
please don't follow me
and don't spam or your answer will be reported
Answers
Answer:
hcf of a 2 numbers are the highest commen factor of them
eg hcf of 12,3 is 3
lcm is the lowest common multiple of 2 no.
eg lcm of 12,3 is 12
Answer:
hi mate
I hope it helps u
pls mark it as branliest answer
Step-by-step explanation:
The full forms of HCF and LCM are Highest Common factor and Least Common Multiple, respectively. The HCF defines the greatest factor present in between given two or more numbers, whereas LCM defines the least number which is exactly divisible by two or more numbers. HCF is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor.
To find HCF and LCM we have two important methods which are Prime factorisation method and division method. Both the methods we have learned in our earlier classes. The shortcut method to find both HCF and LCM is division method. Let us learn the relationship between HCF and LCM with the help of formula here. Also we will solve some problems based on these two concepts to understand better.
HCF and LCM Definition
We know that the factors of a number are exact divisors of that particular number. Let’s proceed to the highest common factor (HCF) and the least common multiple (LCM).
HCF (Highest Common Factor):
As the rules of mathematics dictate, the greatest common divisor or the gcd of two or more positive integers, when at least one of them is not zero, happens to be the largest positive that divides the numbers without a remainder. For example, take 8 and 12, the HCF of two numbers will be 4, because the highest number that can divide both 8 and 12 is 4.
LCM- Least Common Multiple:
In arithmetic, the least common multiple or LCM of two numbers say a and b, is denoted as LCM (a,b). And the LCM is the smallest or least positive integer that is divisible by both a and b. For example, let us take two positive integers 4 and 6. Multiples of 4 are: 4,8,12,16,20,24… Multiples of 6 are: 6,12,18,24…. The common multiples for 4 and 6 are 12,24,36,48…and so on. The least common multiple in that lot would be 12. Let us now try to find out the LCM of 24 and 15.