What is the Least Common Multiple of 72870 and 72889?

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 72870 and 72889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72870 and 72889, than apply into the LCM equation.

GCF(72870,72889) = 1
LCM(72870,72889) = ( 72870 × 72889) / 1
LCM(72870,72889) = 5311421430 / 1
LCM(72870,72889) = 5311421430

Least Common Multiple (LCM) of 72870 and 72889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72870 and 72889. First we will calculate the prime factors of 72870 and 72889.

Prime Factorization of 72870

Prime Factorization of 72889

Now multiplying the highest exponent prime factors to calculate the LCM of 72870 and 72889.

LCM(72870,72889) = 2¹ × 3¹ × 5¹ × 7¹ × 347¹ × 72889¹
LCM(72870,72889) = 5311421430