What is the Least Common Multiple of 88608 and 88617?

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 88608 and 88617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88608 and 88617, than apply into the LCM equation.

GCF(88608,88617) = 3
LCM(88608,88617) = ( 88608 × 88617) / 3
LCM(88608,88617) = 7852175136 / 3
LCM(88608,88617) = 2617391712

Least Common Multiple (LCM) of 88608 and 88617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88608 and 88617. First we will calculate the prime factors of 88608 and 88617.

Prime Factorization of 88608

Prime Factorization of 88617

Now multiplying the highest exponent prime factors to calculate the LCM of 88608 and 88617.

LCM(88608,88617) = 2⁵ × 3¹ × 13¹ × 71¹ × 109¹ × 271¹
LCM(88608,88617) = 2617391712