What is the Least Common Multiple of 63256 and 63274?

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 63256 and 63274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63256 and 63274, than apply into the LCM equation.

GCF(63256,63274) = 2
LCM(63256,63274) = ( 63256 × 63274) / 2
LCM(63256,63274) = 4002460144 / 2
LCM(63256,63274) = 2001230072

Least Common Multiple (LCM) of 63256 and 63274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63256 and 63274. First we will calculate the prime factors of 63256 and 63274.

Prime Factorization of 63256

Prime Factorization of 63274

Now multiplying the highest exponent prime factors to calculate the LCM of 63256 and 63274.

LCM(63256,63274) = 2³ × 7907¹ × 17¹ × 1861¹
LCM(63256,63274) = 2001230072