What is the Least Common Multiple of 51870 and 51875?

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 51870 and 51875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51870 and 51875, than apply into the LCM equation.

GCF(51870,51875) = 5
LCM(51870,51875) = ( 51870 × 51875) / 5
LCM(51870,51875) = 2690756250 / 5
LCM(51870,51875) = 538151250

Least Common Multiple (LCM) of 51870 and 51875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51870 and 51875. First we will calculate the prime factors of 51870 and 51875.

Prime Factorization of 51870

Prime Factorization of 51875

Now multiplying the highest exponent prime factors to calculate the LCM of 51870 and 51875.

LCM(51870,51875) = 2¹ × 3¹ × 5⁴ × 7¹ × 13¹ × 19¹ × 83¹
LCM(51870,51875) = 538151250