What is the Least Common Multiple of 36856 and 36872?

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 36856 and 36872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36856 and 36872, than apply into the LCM equation.

GCF(36856,36872) = 8
LCM(36856,36872) = ( 36856 × 36872) / 8
LCM(36856,36872) = 1358954432 / 8
LCM(36856,36872) = 169869304

Least Common Multiple (LCM) of 36856 and 36872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36856 and 36872. First we will calculate the prime factors of 36856 and 36872.

Prime Factorization of 36856

Prime Factorization of 36872

Now multiplying the highest exponent prime factors to calculate the LCM of 36856 and 36872.

LCM(36856,36872) = 2³ × 17¹ × 271¹ × 11¹ × 419¹
LCM(36856,36872) = 169869304