What is the Least Common Multiple of 36744 and 36752?

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 36752 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 36752, than apply into the LCM equation.

GCF(36744,36752) = 8
LCM(36744,36752) = ( 36744 × 36752) / 8
LCM(36744,36752) = 1350415488 / 8
LCM(36744,36752) = 168801936

Least Common Multiple (LCM) of 36744 and 36752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36744 and 36752. First we will calculate the prime factors of 36744 and 36752.

Prime Factorization of 36744

Prime Factorization of 36752

Now multiplying the highest exponent prime factors to calculate the LCM of 36744 and 36752.

LCM(36744,36752) = 2⁴ × 3¹ × 1531¹ × 2297¹
LCM(36744,36752) = 168801936