LCM of 24 and 36 and HCF of 29 and 32
Answers
Step-by-step explanation:
the largest common divisor or gcd of two or more positive integers, as the mathematics rules dictate, appears to be the largest positive integer that divides the numbers without leaving a remainder.
Example:
Consider the two number 8 and 12.
As the highest number that can divide both 8 and 12 is 4.
Therefore, the H.C.F. of 8 and 12 would be 4.
In arithmetic, Least common multiple or LCM (a,b) is the least common multiple of two numbers, a and b. And the LCM is the smallest or least positive integer that is divisible by both a and b.
Example:
Consider the two number 8 and 12 and let us write the multiples of two numbers.
Multiples of 8 = 16, 24, 32, 40 ,48, 56……
Multiples of 12 = 24, 36, 48, 60, 72………
From the above list, we can observe that least common multiples of 8 and 12 is 24.
I.e LCM (8, 12) = 24
Given numbers: 24 and 36
Let us find the prime factorization of 24 and 36
24 = 2 × 2 × 2 × 3
24 = 23 × 3
36 = 2 × 2 × 3 × 3
36 = 22 × 3³
So,
HCF of (24, 36) = 2 × 2 × 3
HCF of (24, 36) = 12
LCM of (24, 36) = 2 × 2 × 3 × 2 × 3
LCM of (24, 36) = 72