What is the Least Common Multiple of 66600 and 66612?

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 66600 and 66612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66600 and 66612, than apply into the LCM equation.

GCF(66600,66612) = 12
LCM(66600,66612) = ( 66600 × 66612) / 12
LCM(66600,66612) = 4436359200 / 12
LCM(66600,66612) = 369696600

Least Common Multiple (LCM) of 66600 and 66612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66600 and 66612. First we will calculate the prime factors of 66600 and 66612.

Prime Factorization of 66600

Prime Factorization of 66612

Now multiplying the highest exponent prime factors to calculate the LCM of 66600 and 66612.

LCM(66600,66612) = 2³ × 3² × 5² × 37¹ × 7¹ × 13¹ × 61¹
LCM(66600,66612) = 369696600