What is the Least Common Multiple of 11600 and 11617?

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 11600 and 11617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11600 and 11617, than apply into the LCM equation.

GCF(11600,11617) = 1
LCM(11600,11617) = ( 11600 × 11617) / 1
LCM(11600,11617) = 134757200 / 1
LCM(11600,11617) = 134757200

Least Common Multiple (LCM) of 11600 and 11617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11600 and 11617. First we will calculate the prime factors of 11600 and 11617.

Prime Factorization of 11600

Prime Factorization of 11617

Now multiplying the highest exponent prime factors to calculate the LCM of 11600 and 11617.

LCM(11600,11617) = 2⁴ × 5² × 29¹ × 11617¹
LCM(11600,11617) = 134757200