What is the Least Common Multiple of 66612 and 66631?

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 66631 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 66631, than apply into the LCM equation.

GCF(66612,66631) = 1
LCM(66612,66631) = ( 66612 × 66631) / 1
LCM(66612,66631) = 4438424172 / 1
LCM(66612,66631) = 4438424172

Least Common Multiple (LCM) of 66612 and 66631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66612 and 66631. First we will calculate the prime factors of 66612 and 66631.

Prime Factorization of 66612

Prime Factorization of 66631

Now multiplying the highest exponent prime factors to calculate the LCM of 66612 and 66631.

LCM(66612,66631) = 2² × 3¹ × 7¹ × 13¹ × 61¹ × 23¹ × 2897¹
LCM(66612,66631) = 4438424172