What is the Least Common Multiple of 88680 and 88688?

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 88688 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 88688, than apply into the LCM equation.

GCF(88680,88688) = 8
LCM(88680,88688) = ( 88680 × 88688) / 8
LCM(88680,88688) = 7864851840 / 8
LCM(88680,88688) = 983106480

Least Common Multiple (LCM) of 88680 and 88688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88680 and 88688. First we will calculate the prime factors of 88680 and 88688.

Prime Factorization of 88680

Prime Factorization of 88688

Now multiplying the highest exponent prime factors to calculate the LCM of 88680 and 88688.

LCM(88680,88688) = 2⁴ × 3¹ × 5¹ × 739¹ × 23¹ × 241¹
LCM(88680,88688) = 983106480