What is the Least Common Multiple of 72840 and 72857?

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 72840 and 72857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72840 and 72857, than apply into the LCM equation.

GCF(72840,72857) = 1
LCM(72840,72857) = ( 72840 × 72857) / 1
LCM(72840,72857) = 5306903880 / 1
LCM(72840,72857) = 5306903880

Least Common Multiple (LCM) of 72840 and 72857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72840 and 72857. First we will calculate the prime factors of 72840 and 72857.

Prime Factorization of 72840

Prime Factorization of 72857

Now multiplying the highest exponent prime factors to calculate the LCM of 72840 and 72857.

LCM(72840,72857) = 2³ × 3¹ × 5¹ × 607¹ × 41¹ × 1777¹
LCM(72840,72857) = 5306903880