What is the Least Common Multiple of 60908 and 60919?

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 60908 and 60919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60908 and 60919, than apply into the LCM equation.

GCF(60908,60919) = 1
LCM(60908,60919) = ( 60908 × 60919) / 1
LCM(60908,60919) = 3710454452 / 1
LCM(60908,60919) = 3710454452

Least Common Multiple (LCM) of 60908 and 60919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60908 and 60919. First we will calculate the prime factors of 60908 and 60919.

Prime Factorization of 60908

Prime Factorization of 60919

Now multiplying the highest exponent prime factors to calculate the LCM of 60908 and 60919.

LCM(60908,60919) = 2² × 15227¹ × 60919¹
LCM(60908,60919) = 3710454452