What is the Least Common Multiple of 66612 and 66629?

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 66612 and 66629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66612 and 66629, than apply into the LCM equation.

GCF(66612,66629) = 1
LCM(66612,66629) = ( 66612 × 66629) / 1
LCM(66612,66629) = 4438290948 / 1
LCM(66612,66629) = 4438290948

Least Common Multiple (LCM) of 66612 and 66629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66612 and 66629. First we will calculate the prime factors of 66612 and 66629.

Prime Factorization of 66612

Prime Factorization of 66629

Now multiplying the highest exponent prime factors to calculate the LCM of 66612 and 66629.

LCM(66612,66629) = 2² × 3¹ × 7¹ × 13¹ × 61¹ × 66629¹
LCM(66612,66629) = 4438290948