What is the Least Common Multiple of 51390 and 51400?

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 51390 and 51400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51390 and 51400, than apply into the LCM equation.

GCF(51390,51400) = 10
LCM(51390,51400) = ( 51390 × 51400) / 10
LCM(51390,51400) = 2641446000 / 10
LCM(51390,51400) = 264144600

Least Common Multiple (LCM) of 51390 and 51400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51390 and 51400. First we will calculate the prime factors of 51390 and 51400.

Prime Factorization of 51390

Prime Factorization of 51400

Now multiplying the highest exponent prime factors to calculate the LCM of 51390 and 51400.

LCM(51390,51400) = 2³ × 3² × 5² × 571¹ × 257¹
LCM(51390,51400) = 264144600