What is the Least Common Multiple of 51275 and 51291?

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 51275 and 51291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51275 and 51291, than apply into the LCM equation.

GCF(51275,51291) = 1
LCM(51275,51291) = ( 51275 × 51291) / 1
LCM(51275,51291) = 2629946025 / 1
LCM(51275,51291) = 2629946025

Least Common Multiple (LCM) of 51275 and 51291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51275 and 51291. First we will calculate the prime factors of 51275 and 51291.

Prime Factorization of 51275

Prime Factorization of 51291

Now multiplying the highest exponent prime factors to calculate the LCM of 51275 and 51291.

LCM(51275,51291) = 5² × 7¹ × 293¹ × 3² × 41¹ × 139¹
LCM(51275,51291) = 2629946025