Question

what is the LCM of 42 and 52 numbers by prime factorisation with method​

Answer 1

Question :-

• What is the LCM of 42 and 52 numbers by prime factorisation withmethod

Solution :-

Firstly we can know about what is LCM and prime factorisation method ?

WHAT IS LCM ?

• LCM stands for Least Common Multiple. ... LCM stands for Least Common Multiple. A multiple is a number you get when you multiply a number by a whole number (greater than 0). A factor is one of the numbers that multiplies by a wholenumber to get that number.

For eg :-

• The multiples of 8 are 8, 16, 24, 32,40, 48, 56...

WHAT IS PRIME FACTORISATION METHOD ?

• The prime factors of a number are all the prime numbers that, when multiplied together, equal the original number. You can find the prime factorization of a number by using a factor tree and dividing the numberinto smaller parts.

Now we goes to the question ,

Least Common Multiple

(LCM) of 42 and 52 with

Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42 and 52. First we will calculate the prime factors of 42 and 52

Prime Factorization of 42 :-

Prime factors of 42 are 2, 3, 7. Prime factorization of 42 in exponential form is:

$42 = {2}^{1} \times {3}^{1} \times {7}^{1}$

Prime Factorization of 52 :-

Prime factors of 52 are 2, 13. Prime factorization of 52 in exponential form is:

$52 = {2}^{2} \times {13}^{1}$

Now multiplying the highest exponent prime factors to calculate the LCM of 42 and 52.

$LCM(42,52) = {2}^{2}  × {3}^{1}  × {7}^{1}  × {13}^{1}$

$LCM(42,52) = 1092$

Therefore,

LCM of 42 and 52 is 1092

Answer 2

Answer:

Step-by-step explanation:

1092