What is the Least Common Multiple of 93600 and 93617?

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 93600 and 93617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93600 and 93617, than apply into the LCM equation.

GCF(93600,93617) = 1
LCM(93600,93617) = ( 93600 × 93617) / 1
LCM(93600,93617) = 8762551200 / 1
LCM(93600,93617) = 8762551200

Least Common Multiple (LCM) of 93600 and 93617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93600 and 93617. First we will calculate the prime factors of 93600 and 93617.

Prime Factorization of 93600

Prime Factorization of 93617

Now multiplying the highest exponent prime factors to calculate the LCM of 93600 and 93617.

LCM(93600,93617) = 2⁵ × 3² × 5² × 13¹ × 179¹ × 523¹
LCM(93600,93617) = 8762551200