What is the Least Common Multiple of 55932 and 55940?

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 55940 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 55940, than apply into the LCM equation.

GCF(55932,55940) = 4
LCM(55932,55940) = ( 55932 × 55940) / 4
LCM(55932,55940) = 3128836080 / 4
LCM(55932,55940) = 782209020

Least Common Multiple (LCM) of 55932 and 55940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55932 and 55940. First we will calculate the prime factors of 55932 and 55940.

Prime Factorization of 55932

Prime Factorization of 55940

Now multiplying the highest exponent prime factors to calculate the LCM of 55932 and 55940.

LCM(55932,55940) = 2² × 3¹ × 59¹ × 79¹ × 5¹ × 2797¹
LCM(55932,55940) = 782209020