What is the Least Common Multiple of 63268 and 63275?

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 63268 and 63275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63268 and 63275, than apply into the LCM equation.

GCF(63268,63275) = 1
LCM(63268,63275) = ( 63268 × 63275) / 1
LCM(63268,63275) = 4003282700 / 1
LCM(63268,63275) = 4003282700

Least Common Multiple (LCM) of 63268 and 63275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63268 and 63275. First we will calculate the prime factors of 63268 and 63275.

Prime Factorization of 63268

Prime Factorization of 63275

Now multiplying the highest exponent prime factors to calculate the LCM of 63268 and 63275.

LCM(63268,63275) = 2² × 15817¹ × 5² × 2531¹
LCM(63268,63275) = 4003282700