What is the Least Common Multiple of 88595 and 88608?

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 88595 and 88608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88595 and 88608, than apply into the LCM equation.

GCF(88595,88608) = 13
LCM(88595,88608) = ( 88595 × 88608) / 13
LCM(88595,88608) = 7850225760 / 13
LCM(88595,88608) = 603863520

Least Common Multiple (LCM) of 88595 and 88608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88595 and 88608. First we will calculate the prime factors of 88595 and 88608.

Prime Factorization of 88595

Prime Factorization of 88608

Now multiplying the highest exponent prime factors to calculate the LCM of 88595 and 88608.

LCM(88595,88608) = 5¹ × 13¹ × 29¹ × 47¹ × 2⁵ × 3¹ × 71¹
LCM(88595,88608) = 603863520