What is the Least Common Multiple of 36928 and 36936?

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 36928 and 36936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36928 and 36936, than apply into the LCM equation.

GCF(36928,36936) = 8
LCM(36928,36936) = ( 36928 × 36936) / 8
LCM(36928,36936) = 1363972608 / 8
LCM(36928,36936) = 170496576

Least Common Multiple (LCM) of 36928 and 36936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36928 and 36936. First we will calculate the prime factors of 36928 and 36936.

Prime Factorization of 36928

Prime Factorization of 36936

Now multiplying the highest exponent prime factors to calculate the LCM of 36928 and 36936.

LCM(36928,36936) = 2⁶ × 577¹ × 3⁵ × 19¹
LCM(36928,36936) = 170496576