What is the Least Common Multiple of 51359 and 51379?

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 51359 and 51379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51359 and 51379, than apply into the LCM equation.

GCF(51359,51379) = 1
LCM(51359,51379) = ( 51359 × 51379) / 1
LCM(51359,51379) = 2638774061 / 1
LCM(51359,51379) = 2638774061

Least Common Multiple (LCM) of 51359 and 51379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51359 and 51379. First we will calculate the prime factors of 51359 and 51379.

Prime Factorization of 51359

Prime Factorization of 51379

Now multiplying the highest exponent prime factors to calculate the LCM of 51359 and 51379.

LCM(51359,51379) = 7¹ × 11¹ × 23¹ × 29¹ × 191¹ × 269¹
LCM(51359,51379) = 2638774061