What is the Least Common Multiple of 63277 and 63296?

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 63277 and 63296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63277 and 63296, than apply into the LCM equation.

GCF(63277,63296) = 1
LCM(63277,63296) = ( 63277 × 63296) / 1
LCM(63277,63296) = 4005180992 / 1
LCM(63277,63296) = 4005180992

Least Common Multiple (LCM) of 63277 and 63296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63277 and 63296. First we will calculate the prime factors of 63277 and 63296.

Prime Factorization of 63277

Prime Factorization of 63296

Now multiplying the highest exponent prime factors to calculate the LCM of 63277 and 63296.

LCM(63277,63296) = 63277¹ × 2⁶ × 23¹ × 43¹
LCM(63277,63296) = 4005180992