What is the Least Common Multiple of 51309 and 51321?

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 51309 and 51321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51309 and 51321, than apply into the LCM equation.

GCF(51309,51321) = 3
LCM(51309,51321) = ( 51309 × 51321) / 3
LCM(51309,51321) = 2633229189 / 3
LCM(51309,51321) = 877743063

Least Common Multiple (LCM) of 51309 and 51321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51309 and 51321. First we will calculate the prime factors of 51309 and 51321.

Prime Factorization of 51309

Prime Factorization of 51321

Now multiplying the highest exponent prime factors to calculate the LCM of 51309 and 51321.

LCM(51309,51321) = 3² × 5701¹ × 17107¹
LCM(51309,51321) = 877743063