What is the Least Common Multiple of 51376 and 51395?

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 51376 and 51395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51376 and 51395, than apply into the LCM equation.

GCF(51376,51395) = 19
LCM(51376,51395) = ( 51376 × 51395) / 19
LCM(51376,51395) = 2640469520 / 19
LCM(51376,51395) = 138972080

Least Common Multiple (LCM) of 51376 and 51395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51376 and 51395. First we will calculate the prime factors of 51376 and 51395.

Prime Factorization of 51376

Prime Factorization of 51395

Now multiplying the highest exponent prime factors to calculate the LCM of 51376 and 51395.

LCM(51376,51395) = 2⁴ × 13² × 19¹ × 5¹ × 541¹
LCM(51376,51395) = 138972080