What is the Least Common Multiple of 60858 and 60878?

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 60878 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 60878, than apply into the LCM equation.

GCF(60858,60878) = 2
LCM(60858,60878) = ( 60858 × 60878) / 2
LCM(60858,60878) = 3704913324 / 2
LCM(60858,60878) = 1852456662

Least Common Multiple (LCM) of 60858 and 60878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60858 and 60878. First we will calculate the prime factors of 60858 and 60878.

Prime Factorization of 60858

Prime Factorization of 60878

Now multiplying the highest exponent prime factors to calculate the LCM of 60858 and 60878.

LCM(60858,60878) = 2¹ × 3³ × 7² × 23¹ × 61¹ × 499¹
LCM(60858,60878) = 1852456662