What is the Least Common Multiple of 60612 and 60616?

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 60616 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 60616, than apply into the LCM equation.

GCF(60612,60616) = 4
LCM(60612,60616) = ( 60612 × 60616) / 4
LCM(60612,60616) = 3674056992 / 4
LCM(60612,60616) = 918514248

Least Common Multiple (LCM) of 60612 and 60616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60612 and 60616. First we will calculate the prime factors of 60612 and 60616.

Prime Factorization of 60612

Prime Factorization of 60616

Now multiplying the highest exponent prime factors to calculate the LCM of 60612 and 60616.

LCM(60612,60616) = 2³ × 3¹ × 5051¹ × 7577¹
LCM(60612,60616) = 918514248