What is the Least Common Multiple of 36088 and 36093?

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 36088 and 36093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36088 and 36093, than apply into the LCM equation.

GCF(36088,36093) = 1
LCM(36088,36093) = ( 36088 × 36093) / 1
LCM(36088,36093) = 1302524184 / 1
LCM(36088,36093) = 1302524184

Least Common Multiple (LCM) of 36088 and 36093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36088 and 36093. First we will calculate the prime factors of 36088 and 36093.

Prime Factorization of 36088

Prime Factorization of 36093

Now multiplying the highest exponent prime factors to calculate the LCM of 36088 and 36093.

LCM(36088,36093) = 2³ × 13¹ × 347¹ × 3¹ × 53¹ × 227¹
LCM(36088,36093) = 1302524184