What is the Least Common Multiple of 43608 and 43617?

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 43608 and 43617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43608 and 43617, than apply into the LCM equation.

GCF(43608,43617) = 3
LCM(43608,43617) = ( 43608 × 43617) / 3
LCM(43608,43617) = 1902050136 / 3
LCM(43608,43617) = 634016712

Least Common Multiple (LCM) of 43608 and 43617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43608 and 43617. First we will calculate the prime factors of 43608 and 43617.

Prime Factorization of 43608

Prime Factorization of 43617

Now multiplying the highest exponent prime factors to calculate the LCM of 43608 and 43617.

LCM(43608,43617) = 2³ × 3¹ × 23¹ × 79¹ × 7¹ × 31¹ × 67¹
LCM(43608,43617) = 634016712