What is the Least Common Multiple of 73600 and 73617?

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 73600 and 73617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73600 and 73617, than apply into the LCM equation.

GCF(73600,73617) = 1
LCM(73600,73617) = ( 73600 × 73617) / 1
LCM(73600,73617) = 5418211200 / 1
LCM(73600,73617) = 5418211200

Least Common Multiple (LCM) of 73600 and 73617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73600 and 73617. First we will calculate the prime factors of 73600 and 73617.

Prime Factorization of 73600

Prime Factorization of 73617

Now multiplying the highest exponent prime factors to calculate the LCM of 73600 and 73617.

LCM(73600,73617) = 2⁷ × 5² × 23¹ × 3¹ × 53¹ × 463¹
LCM(73600,73617) = 5418211200