What is the Least Common Multiple of 60858 and 60868?

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 60858 and 60868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60858 and 60868, than apply into the LCM equation.

GCF(60858,60868) = 2
LCM(60858,60868) = ( 60858 × 60868) / 2
LCM(60858,60868) = 3704304744 / 2
LCM(60858,60868) = 1852152372

Least Common Multiple (LCM) of 60858 and 60868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60858 and 60868. First we will calculate the prime factors of 60858 and 60868.

Prime Factorization of 60858

Prime Factorization of 60868

Now multiplying the highest exponent prime factors to calculate the LCM of 60858 and 60868.

LCM(60858,60868) = 2² × 3³ × 7² × 23¹ × 15217¹
LCM(60858,60868) = 1852152372