What is the Least Common Multiple of 72856 and 72861?

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 72856 and 72861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72856 and 72861, than apply into the LCM equation.

GCF(72856,72861) = 1
LCM(72856,72861) = ( 72856 × 72861) / 1
LCM(72856,72861) = 5308361016 / 1
LCM(72856,72861) = 5308361016

Least Common Multiple (LCM) of 72856 and 72861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72856 and 72861. First we will calculate the prime factors of 72856 and 72861.

Prime Factorization of 72856

Prime Factorization of 72861

Now multiplying the highest exponent prime factors to calculate the LCM of 72856 and 72861.

LCM(72856,72861) = 2³ × 7¹ × 1301¹ × 3¹ × 149¹ × 163¹
LCM(72856,72861) = 5308361016