What is the Least Common Multiple of 36310 and 36330?

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 36310 and 36330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36310 and 36330, than apply into the LCM equation.

GCF(36310,36330) = 10
LCM(36310,36330) = ( 36310 × 36330) / 10
LCM(36310,36330) = 1319142300 / 10
LCM(36310,36330) = 131914230

Least Common Multiple (LCM) of 36310 and 36330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36310 and 36330. First we will calculate the prime factors of 36310 and 36330.

Prime Factorization of 36310

Prime Factorization of 36330

Now multiplying the highest exponent prime factors to calculate the LCM of 36310 and 36330.

LCM(36310,36330) = 2¹ × 5¹ × 3631¹ × 3¹ × 7¹ × 173¹
LCM(36310,36330) = 131914230