What is the Least Common Multiple of 36768 and 36774?

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 36768 and 36774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36768 and 36774, than apply into the LCM equation.

GCF(36768,36774) = 6
LCM(36768,36774) = ( 36768 × 36774) / 6
LCM(36768,36774) = 1352106432 / 6
LCM(36768,36774) = 225351072

Least Common Multiple (LCM) of 36768 and 36774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36768 and 36774. First we will calculate the prime factors of 36768 and 36774.

Prime Factorization of 36768

Prime Factorization of 36774

Now multiplying the highest exponent prime factors to calculate the LCM of 36768 and 36774.

LCM(36768,36774) = 2⁵ × 3⁴ × 383¹ × 227¹
LCM(36768,36774) = 225351072