What is the Least Common Multiple of 51056 and 51074?

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 51056 and 51074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51056 and 51074, than apply into the LCM equation.

GCF(51056,51074) = 2
LCM(51056,51074) = ( 51056 × 51074) / 2
LCM(51056,51074) = 2607634144 / 2
LCM(51056,51074) = 1303817072

Least Common Multiple (LCM) of 51056 and 51074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51056 and 51074. First we will calculate the prime factors of 51056 and 51074.

Prime Factorization of 51056

Prime Factorization of 51074

Now multiplying the highest exponent prime factors to calculate the LCM of 51056 and 51074.

LCM(51056,51074) = 2⁴ × 3191¹ × 25537¹
LCM(51056,51074) = 1303817072