What is the Least Common Multiple of 55926 and 55941?

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 55926 and 55941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55926 and 55941, than apply into the LCM equation.

GCF(55926,55941) = 3
LCM(55926,55941) = ( 55926 × 55941) / 3
LCM(55926,55941) = 3128556366 / 3
LCM(55926,55941) = 1042852122

Least Common Multiple (LCM) of 55926 and 55941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55926 and 55941. First we will calculate the prime factors of 55926 and 55941.

Prime Factorization of 55926

Prime Factorization of 55941

Now multiplying the highest exponent prime factors to calculate the LCM of 55926 and 55941.

LCM(55926,55941) = 2¹ × 3² × 13¹ × 239¹ × 29¹ × 643¹
LCM(55926,55941) = 1042852122