What is the Least Common Multiple of 55932 and 55938?

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 of 55932 and 55938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55932 and 55938, than apply into the LCM equation.

GCF(55932,55938) = 6
LCM(55932,55938) = ( 55932 × 55938) / 6
LCM(55932,55938) = 3128724216 / 6
LCM(55932,55938) = 521454036

Least Common Multiple (LCM) of 55932 and 55938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55932 and 55938. First we will calculate the prime factors of 55932 and 55938.

Prime Factorization of 55932

Prime Factorization of 55938

Now multiplying the highest exponent prime factors to calculate the LCM of 55932 and 55938.

LCM(55932,55938) = 2² × 3¹ × 59¹ × 79¹ × 9323¹
LCM(55932,55938) = 521454036