What is the Least Common Multiple of 36744 and 36759?

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 36744 and 36759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36744 and 36759, than apply into the LCM equation.

GCF(36744,36759) = 3
LCM(36744,36759) = ( 36744 × 36759) / 3
LCM(36744,36759) = 1350672696 / 3
LCM(36744,36759) = 450224232

Least Common Multiple (LCM) of 36744 and 36759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36744 and 36759. First we will calculate the prime factors of 36744 and 36759.

Prime Factorization of 36744

Prime Factorization of 36759

Now multiplying the highest exponent prime factors to calculate the LCM of 36744 and 36759.

LCM(36744,36759) = 2³ × 3¹ × 1531¹ × 12253¹
LCM(36744,36759) = 450224232