What is the Least Common Multiple of 51468 and 51479?

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 51468 and 51479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51468 and 51479, than apply into the LCM equation.

GCF(51468,51479) = 1
LCM(51468,51479) = ( 51468 × 51479) / 1
LCM(51468,51479) = 2649521172 / 1
LCM(51468,51479) = 2649521172

Least Common Multiple (LCM) of 51468 and 51479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51468 and 51479. First we will calculate the prime factors of 51468 and 51479.

Prime Factorization of 51468

Prime Factorization of 51479

Now multiplying the highest exponent prime factors to calculate the LCM of 51468 and 51479.

LCM(51468,51479) = 2² × 3¹ × 4289¹ × 51479¹
LCM(51468,51479) = 2649521172