What is the Least Common Multiple of 51369 and 51375?

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 51369 and 51375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51369 and 51375, than apply into the LCM equation.

GCF(51369,51375) = 3
LCM(51369,51375) = ( 51369 × 51375) / 3
LCM(51369,51375) = 2639082375 / 3
LCM(51369,51375) = 879694125

Least Common Multiple (LCM) of 51369 and 51375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51369 and 51375. First we will calculate the prime factors of 51369 and 51375.

Prime Factorization of 51369

Prime Factorization of 51375

Now multiplying the highest exponent prime factors to calculate the LCM of 51369 and 51375.

LCM(51369,51375) = 3¹ × 17123¹ × 5³ × 137¹
LCM(51369,51375) = 879694125