GCF and LCM Calculator Logo

What is the Least Common Multiple of 7431 and 7436?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 7431 and 7436 is 55256916.

LCM(7431,7436) = 55256916

LCM Calculator and
and

Least Common Multiple of 7431 and 7436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7431 and 7436, than apply into the LCM equation.

GCF(7431,7436) = 1
LCM(7431,7436) = ( 7431 × 7436) / 1
LCM(7431,7436) = 55256916 / 1
LCM(7431,7436) = 55256916

Least Common Multiple (LCM) of 7431 and 7436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7431 and 7436. First we will calculate the prime factors of 7431 and 7436.

Prime Factorization of 7431

Prime factors of 7431 are 3, 2477. Prime factorization of 7431 in exponential form is:

7431 = 31 × 24771

Prime Factorization of 7436

Prime factors of 7436 are 2, 11, 13. Prime factorization of 7436 in exponential form is:

7436 = 22 × 111 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 7431 and 7436.

LCM(7431,7436) = 31 × 24771 × 22 × 111 × 132
LCM(7431,7436) = 55256916