What is the Least Common Multiple of 36276 and 36288?

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 36276 and 36288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36276 and 36288, than apply into the LCM equation.

GCF(36276,36288) = 12
LCM(36276,36288) = ( 36276 × 36288) / 12
LCM(36276,36288) = 1316383488 / 12
LCM(36276,36288) = 109698624

Least Common Multiple (LCM) of 36276 and 36288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36276 and 36288. First we will calculate the prime factors of 36276 and 36288.

Prime Factorization of 36276

Prime Factorization of 36288

Now multiplying the highest exponent prime factors to calculate the LCM of 36276 and 36288.

LCM(36276,36288) = 2⁶ × 3⁴ × 3023¹ × 7¹
LCM(36276,36288) = 109698624