What is the Least Common Multiple of 51256 and 51274?

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 51256 and 51274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51256 and 51274, than apply into the LCM equation.

GCF(51256,51274) = 2
LCM(51256,51274) = ( 51256 × 51274) / 2
LCM(51256,51274) = 2628100144 / 2
LCM(51256,51274) = 1314050072

Least Common Multiple (LCM) of 51256 and 51274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51256 and 51274. First we will calculate the prime factors of 51256 and 51274.

Prime Factorization of 51256

Prime Factorization of 51274

Now multiplying the highest exponent prime factors to calculate the LCM of 51256 and 51274.

LCM(51256,51274) = 2³ × 43¹ × 149¹ × 31¹ × 827¹
LCM(51256,51274) = 1314050072