What is the Least Common Multiple of 55609 and 55628?

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 55609 and 55628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55609 and 55628, than apply into the LCM equation.

GCF(55609,55628) = 1
LCM(55609,55628) = ( 55609 × 55628) / 1
LCM(55609,55628) = 3093417452 / 1
LCM(55609,55628) = 3093417452

Least Common Multiple (LCM) of 55609 and 55628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55609 and 55628. First we will calculate the prime factors of 55609 and 55628.

Prime Factorization of 55609

Prime Factorization of 55628

Now multiplying the highest exponent prime factors to calculate the LCM of 55609 and 55628.

LCM(55609,55628) = 55609¹ × 2² × 13907¹
LCM(55609,55628) = 3093417452