What is the Least Common Multiple of 51270 and 51288?

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 51270 and 51288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51270 and 51288, than apply into the LCM equation.

GCF(51270,51288) = 6
LCM(51270,51288) = ( 51270 × 51288) / 6
LCM(51270,51288) = 2629535760 / 6
LCM(51270,51288) = 438255960

Least Common Multiple (LCM) of 51270 and 51288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51270 and 51288. First we will calculate the prime factors of 51270 and 51288.

Prime Factorization of 51270

Prime Factorization of 51288

Now multiplying the highest exponent prime factors to calculate the LCM of 51270 and 51288.

LCM(51270,51288) = 2³ × 3¹ × 5¹ × 1709¹ × 2137¹
LCM(51270,51288) = 438255960