What is the Least Common Multiple of 60858 and 60873?

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 60873 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 60873, than apply into the LCM equation.

GCF(60858,60873) = 3
LCM(60858,60873) = ( 60858 × 60873) / 3
LCM(60858,60873) = 3704609034 / 3
LCM(60858,60873) = 1234869678

Least Common Multiple (LCM) of 60858 and 60873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60858 and 60873. First we will calculate the prime factors of 60858 and 60873.

Prime Factorization of 60858

Prime Factorization of 60873

Now multiplying the highest exponent prime factors to calculate the LCM of 60858 and 60873.

LCM(60858,60873) = 2¹ × 3³ × 7² × 23¹ × 103¹ × 197¹
LCM(60858,60873) = 1234869678