What is the Least Common Multiple of 60846 and 60858?

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 60846 and 60858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60846 and 60858, than apply into the LCM equation.

GCF(60846,60858) = 6
LCM(60846,60858) = ( 60846 × 60858) / 6
LCM(60846,60858) = 3702965868 / 6
LCM(60846,60858) = 617160978

Least Common Multiple (LCM) of 60846 and 60858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60846 and 60858. First we will calculate the prime factors of 60846 and 60858.

Prime Factorization of 60846

Prime Factorization of 60858

Now multiplying the highest exponent prime factors to calculate the LCM of 60846 and 60858.

LCM(60846,60858) = 2¹ × 3³ × 10141¹ × 7² × 23¹
LCM(60846,60858) = 617160978