What is the Least Common Multiple of 88680 and 88700?

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 88680 and 88700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88680 and 88700, than apply into the LCM equation.

GCF(88680,88700) = 20
LCM(88680,88700) = ( 88680 × 88700) / 20
LCM(88680,88700) = 7865916000 / 20
LCM(88680,88700) = 393295800

Least Common Multiple (LCM) of 88680 and 88700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88680 and 88700. First we will calculate the prime factors of 88680 and 88700.

Prime Factorization of 88680

Prime Factorization of 88700

Now multiplying the highest exponent prime factors to calculate the LCM of 88680 and 88700.

LCM(88680,88700) = 2³ × 3¹ × 5² × 739¹ × 887¹
LCM(88680,88700) = 393295800