What is the Least Common Multiple of 88688 and 88707?

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 88688 and 88707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88688 and 88707, than apply into the LCM equation.

GCF(88688,88707) = 1
LCM(88688,88707) = ( 88688 × 88707) / 1
LCM(88688,88707) = 7867246416 / 1
LCM(88688,88707) = 7867246416

Least Common Multiple (LCM) of 88688 and 88707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88688 and 88707. First we will calculate the prime factors of 88688 and 88707.

Prime Factorization of 88688

Prime Factorization of 88707

Now multiplying the highest exponent prime factors to calculate the LCM of 88688 and 88707.

LCM(88688,88707) = 2⁴ × 23¹ × 241¹ × 3¹ × 29569¹
LCM(88688,88707) = 7867246416