What is the Least Common Multiple of 72858 and 72867?

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 72858 and 72867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72858 and 72867, than apply into the LCM equation.

GCF(72858,72867) = 3
LCM(72858,72867) = ( 72858 × 72867) / 3
LCM(72858,72867) = 5308943886 / 3
LCM(72858,72867) = 1769647962

Least Common Multiple (LCM) of 72858 and 72867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72858 and 72867. First we will calculate the prime factors of 72858 and 72867.

Prime Factorization of 72858

Prime Factorization of 72867

Now multiplying the highest exponent prime factors to calculate the LCM of 72858 and 72867.

LCM(72858,72867) = 2¹ × 3¹ × 12143¹ × 107¹ × 227¹
LCM(72858,72867) = 1769647962