What is the Least Common Multiple of 51870 and 51889?

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 51889 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 51889, than apply into the LCM equation.

GCF(51870,51889) = 19
LCM(51870,51889) = ( 51870 × 51889) / 19
LCM(51870,51889) = 2691482430 / 19
LCM(51870,51889) = 141656970

Least Common Multiple (LCM) of 51870 and 51889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51870 and 51889. First we will calculate the prime factors of 51870 and 51889.

Prime Factorization of 51870

Prime Factorization of 51889

Now multiplying the highest exponent prime factors to calculate the LCM of 51870 and 51889.

LCM(51870,51889) = 2¹ × 3¹ × 5¹ × 7¹ × 13¹ × 19¹ × 2731¹
LCM(51870,51889) = 141656970