What is the Least Common Multiple of 36327 and 36336?

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 36327 and 36336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36327 and 36336, than apply into the LCM equation.

GCF(36327,36336) = 3
LCM(36327,36336) = ( 36327 × 36336) / 3
LCM(36327,36336) = 1319977872 / 3
LCM(36327,36336) = 439992624

Least Common Multiple (LCM) of 36327 and 36336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36327 and 36336. First we will calculate the prime factors of 36327 and 36336.

Prime Factorization of 36327

Prime Factorization of 36336

Now multiplying the highest exponent prime factors to calculate the LCM of 36327 and 36336.

LCM(36327,36336) = 3¹ × 12109¹ × 2⁴ × 757¹
LCM(36327,36336) = 439992624