What is the Least Common Multiple of 51270 and 51278?

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 51278 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 51278, than apply into the LCM equation.

GCF(51270,51278) = 2
LCM(51270,51278) = ( 51270 × 51278) / 2
LCM(51270,51278) = 2629023060 / 2
LCM(51270,51278) = 1314511530

Least Common Multiple (LCM) of 51270 and 51278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51270 and 51278. First we will calculate the prime factors of 51270 and 51278.

Prime Factorization of 51270

Prime Factorization of 51278

Now multiplying the highest exponent prime factors to calculate the LCM of 51270 and 51278.

LCM(51270,51278) = 2¹ × 3¹ × 5¹ × 1709¹ × 25639¹
LCM(51270,51278) = 1314511530