What is the Least Common Multiple of 36060 and 36066?

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 36060 and 36066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36060 and 36066, than apply into the LCM equation.

GCF(36060,36066) = 6
LCM(36060,36066) = ( 36060 × 36066) / 6
LCM(36060,36066) = 1300539960 / 6
LCM(36060,36066) = 216756660

Least Common Multiple (LCM) of 36060 and 36066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36060 and 36066. First we will calculate the prime factors of 36060 and 36066.

Prime Factorization of 36060

Prime Factorization of 36066

Now multiplying the highest exponent prime factors to calculate the LCM of 36060 and 36066.

LCM(36060,36066) = 2² × 3¹ × 5¹ × 601¹ × 6011¹
LCM(36060,36066) = 216756660