What is the Least Common Multiple of 72870 and 72875?

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 72875 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 72875, than apply into the LCM equation.

GCF(72870,72875) = 5
LCM(72870,72875) = ( 72870 × 72875) / 5
LCM(72870,72875) = 5310401250 / 5
LCM(72870,72875) = 1062080250

Least Common Multiple (LCM) of 72870 and 72875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72870 and 72875. First we will calculate the prime factors of 72870 and 72875.

Prime Factorization of 72870

Prime Factorization of 72875

Now multiplying the highest exponent prime factors to calculate the LCM of 72870 and 72875.

LCM(72870,72875) = 2¹ × 3¹ × 5³ × 7¹ × 347¹ × 11¹ × 53¹
LCM(72870,72875) = 1062080250