What is the Least Common Multiple of 55164 and 55170?

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 55164 and 55170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55164 and 55170, than apply into the LCM equation.

GCF(55164,55170) = 6
LCM(55164,55170) = ( 55164 × 55170) / 6
LCM(55164,55170) = 3043397880 / 6
LCM(55164,55170) = 507232980

Least Common Multiple (LCM) of 55164 and 55170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55164 and 55170. First we will calculate the prime factors of 55164 and 55170.

Prime Factorization of 55164

Prime Factorization of 55170

Now multiplying the highest exponent prime factors to calculate the LCM of 55164 and 55170.

LCM(55164,55170) = 2² × 3² × 4597¹ × 5¹ × 613¹
LCM(55164,55170) = 507232980