What is the Least Common Multiple of 36728 and 36738?

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 36728 and 36738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36728 and 36738, than apply into the LCM equation.

GCF(36728,36738) = 2
LCM(36728,36738) = ( 36728 × 36738) / 2
LCM(36728,36738) = 1349313264 / 2
LCM(36728,36738) = 674656632

Least Common Multiple (LCM) of 36728 and 36738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36728 and 36738. First we will calculate the prime factors of 36728 and 36738.

Prime Factorization of 36728

Prime Factorization of 36738

Now multiplying the highest exponent prime factors to calculate the LCM of 36728 and 36738.

LCM(36728,36738) = 2³ × 4591¹ × 3² × 13¹ × 157¹
LCM(36728,36738) = 674656632