What is the Least Common Multiple of 55600 and 55617?

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 55600 and 55617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55600 and 55617, than apply into the LCM equation.

GCF(55600,55617) = 1
LCM(55600,55617) = ( 55600 × 55617) / 1
LCM(55600,55617) = 3092305200 / 1
LCM(55600,55617) = 3092305200

Least Common Multiple (LCM) of 55600 and 55617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55600 and 55617. First we will calculate the prime factors of 55600 and 55617.

Prime Factorization of 55600

Prime Factorization of 55617

Now multiplying the highest exponent prime factors to calculate the LCM of 55600 and 55617.

LCM(55600,55617) = 2⁴ × 5² × 139¹ × 3¹ × 18539¹
LCM(55600,55617) = 3092305200