What is the Least Common Multiple of 55612 and 55626?

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 55612 and 55626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55612 and 55626, than apply into the LCM equation.

GCF(55612,55626) = 2
LCM(55612,55626) = ( 55612 × 55626) / 2
LCM(55612,55626) = 3093473112 / 2
LCM(55612,55626) = 1546736556

Least Common Multiple (LCM) of 55612 and 55626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55612 and 55626. First we will calculate the prime factors of 55612 and 55626.

Prime Factorization of 55612

Prime Factorization of 55626

Now multiplying the highest exponent prime factors to calculate the LCM of 55612 and 55626.

LCM(55612,55626) = 2² × 13903¹ × 3¹ × 73¹ × 127¹
LCM(55612,55626) = 1546736556