What is the Least Common Multiple of 43617 and 43627?

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 43617 and 43627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43617 and 43627, than apply into the LCM equation.

GCF(43617,43627) = 1
LCM(43617,43627) = ( 43617 × 43627) / 1
LCM(43617,43627) = 1902878859 / 1
LCM(43617,43627) = 1902878859

Least Common Multiple (LCM) of 43617 and 43627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43617 and 43627. First we will calculate the prime factors of 43617 and 43627.

Prime Factorization of 43617

Prime Factorization of 43627

Now multiplying the highest exponent prime factors to calculate the LCM of 43617 and 43627.

LCM(43617,43627) = 3¹ × 7¹ × 31¹ × 67¹ × 43627¹
LCM(43617,43627) = 1902878859