What is the Least Common Multiple of 88614 and 88627?

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 88614 and 88627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88614 and 88627, than apply into the LCM equation.

GCF(88614,88627) = 1
LCM(88614,88627) = ( 88614 × 88627) / 1
LCM(88614,88627) = 7853592978 / 1
LCM(88614,88627) = 7853592978

Least Common Multiple (LCM) of 88614 and 88627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88614 and 88627. First we will calculate the prime factors of 88614 and 88627.

Prime Factorization of 88614

Prime Factorization of 88627

Now multiplying the highest exponent prime factors to calculate the LCM of 88614 and 88627.

LCM(88614,88627) = 2¹ × 3⁴ × 547¹ × 7¹ × 11¹ × 1151¹
LCM(88614,88627) = 7853592978