What is the Least Common Multiple of 88598 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 88598 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 88598 and 88608, than apply into the LCM equation.

GCF(88598,88608) = 2
LCM(88598,88608) = ( 88598 × 88608) / 2
LCM(88598,88608) = 7850491584 / 2
LCM(88598,88608) = 3925245792

Least Common Multiple (LCM) of 88598 and 88608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88598 and 88608. First we will calculate the prime factors of 88598 and 88608.

Prime Factorization of 88598

Prime Factorization of 88608

Now multiplying the highest exponent prime factors to calculate the LCM of 88598 and 88608.

LCM(88598,88608) = 2⁵ × 31¹ × 1429¹ × 3¹ × 13¹ × 71¹
LCM(88598,88608) = 3925245792