What is the Least Common Multiple of 60612 and 60621?

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 60612 and 60621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60612 and 60621, than apply into the LCM equation.

GCF(60612,60621) = 3
LCM(60612,60621) = ( 60612 × 60621) / 3
LCM(60612,60621) = 3674360052 / 3
LCM(60612,60621) = 1224786684

Least Common Multiple (LCM) of 60612 and 60621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60612 and 60621. First we will calculate the prime factors of 60612 and 60621.

Prime Factorization of 60612

Prime Factorization of 60621

Now multiplying the highest exponent prime factors to calculate the LCM of 60612 and 60621.

LCM(60612,60621) = 2² × 3¹ × 5051¹ × 11² × 167¹
LCM(60612,60621) = 1224786684