What is the Least Common Multiple of 36756 and 36768?

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 36756 and 36768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36756 and 36768, than apply into the LCM equation.

GCF(36756,36768) = 12
LCM(36756,36768) = ( 36756 × 36768) / 12
LCM(36756,36768) = 1351444608 / 12
LCM(36756,36768) = 112620384

Least Common Multiple (LCM) of 36756 and 36768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36756 and 36768. First we will calculate the prime factors of 36756 and 36768.

Prime Factorization of 36756

Prime Factorization of 36768

Now multiplying the highest exponent prime factors to calculate the LCM of 36756 and 36768.

LCM(36756,36768) = 2⁵ × 3² × 1021¹ × 383¹
LCM(36756,36768) = 112620384