What is the Least Common Multiple of 40596 and 40608?

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 40596 and 40608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40596 and 40608, than apply into the LCM equation.

GCF(40596,40608) = 12
LCM(40596,40608) = ( 40596 × 40608) / 12
LCM(40596,40608) = 1648522368 / 12
LCM(40596,40608) = 137376864

Least Common Multiple (LCM) of 40596 and 40608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40596 and 40608. First we will calculate the prime factors of 40596 and 40608.

Prime Factorization of 40596

Prime Factorization of 40608

Now multiplying the highest exponent prime factors to calculate the LCM of 40596 and 40608.

LCM(40596,40608) = 2⁵ × 3³ × 17¹ × 199¹ × 47¹
LCM(40596,40608) = 137376864