What is the Least Common Multiple of 55148 and 55164?

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 55148 and 55164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55148 and 55164, than apply into the LCM equation.

GCF(55148,55164) = 4
LCM(55148,55164) = ( 55148 × 55164) / 4
LCM(55148,55164) = 3042184272 / 4
LCM(55148,55164) = 760546068

Least Common Multiple (LCM) of 55148 and 55164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55148 and 55164. First we will calculate the prime factors of 55148 and 55164.

Prime Factorization of 55148

Prime Factorization of 55164

Now multiplying the highest exponent prime factors to calculate the LCM of 55148 and 55164.

LCM(55148,55164) = 2² × 17¹ × 811¹ × 3¹ × 4597¹
LCM(55148,55164) = 760546068