What is the Least Common Multiple of 36015 and 36021?

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 36015 and 36021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36015 and 36021, than apply into the LCM equation.

GCF(36015,36021) = 3
LCM(36015,36021) = ( 36015 × 36021) / 3
LCM(36015,36021) = 1297296315 / 3
LCM(36015,36021) = 432432105

Least Common Multiple (LCM) of 36015 and 36021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36015 and 36021. First we will calculate the prime factors of 36015 and 36021.

Prime Factorization of 36015

Prime Factorization of 36021

Now multiplying the highest exponent prime factors to calculate the LCM of 36015 and 36021.

LCM(36015,36021) = 3¹ × 5¹ × 7⁴ × 12007¹
LCM(36015,36021) = 432432105