What is the Least Common Multiple of 63268 and 63272?

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 63272 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 63272, than apply into the LCM equation.

GCF(63268,63272) = 4
LCM(63268,63272) = ( 63268 × 63272) / 4
LCM(63268,63272) = 4003092896 / 4
LCM(63268,63272) = 1000773224

Least Common Multiple (LCM) of 63268 and 63272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63268 and 63272. First we will calculate the prime factors of 63268 and 63272.

Prime Factorization of 63268

Prime Factorization of 63272

Now multiplying the highest exponent prime factors to calculate the LCM of 63268 and 63272.

LCM(63268,63272) = 2³ × 15817¹ × 11¹ × 719¹
LCM(63268,63272) = 1000773224