What is the Least Common Multiple of 36600 and 36617?

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 36600 and 36617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36600 and 36617, than apply into the LCM equation.

GCF(36600,36617) = 1
LCM(36600,36617) = ( 36600 × 36617) / 1
LCM(36600,36617) = 1340182200 / 1
LCM(36600,36617) = 1340182200

Least Common Multiple (LCM) of 36600 and 36617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36600 and 36617. First we will calculate the prime factors of 36600 and 36617.

Prime Factorization of 36600

Prime Factorization of 36617

Now multiplying the highest exponent prime factors to calculate the LCM of 36600 and 36617.

LCM(36600,36617) = 2³ × 3¹ × 5² × 61¹ × 7¹ × 5231¹
LCM(36600,36617) = 1340182200