What is the Least Common Multiple of 51296 and 51314?

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 51296 and 51314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51296 and 51314, than apply into the LCM equation.

GCF(51296,51314) = 2
LCM(51296,51314) = ( 51296 × 51314) / 2
LCM(51296,51314) = 2632202944 / 2
LCM(51296,51314) = 1316101472

Least Common Multiple (LCM) of 51296 and 51314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51296 and 51314. First we will calculate the prime factors of 51296 and 51314.

Prime Factorization of 51296

Prime Factorization of 51314

Now multiplying the highest exponent prime factors to calculate the LCM of 51296 and 51314.

LCM(51296,51314) = 2⁵ × 7¹ × 229¹ × 25657¹
LCM(51296,51314) = 1316101472