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What is the Least Common Multiple of 63267 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 (LCM) of 63267 and 63272 is 4003029624.

LCM(63267,63272) = 4003029624

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Least Common Multiple of 63267 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 63267 and 63272, than apply into the LCM equation.

GCF(63267,63272) = 1
LCM(63267,63272) = ( 63267 × 63272) / 1
LCM(63267,63272) = 4003029624 / 1
LCM(63267,63272) = 4003029624

Least Common Multiple (LCM) of 63267 and 63272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63267 and 63272. First we will calculate the prime factors of 63267 and 63272.

Prime Factorization of 63267

Prime factors of 63267 are 3, 21089. Prime factorization of 63267 in exponential form is:

63267 = 31 × 210891

Prime Factorization of 63272

Prime factors of 63272 are 2, 11, 719. Prime factorization of 63272 in exponential form is:

63272 = 23 × 111 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 63267 and 63272.

LCM(63267,63272) = 31 × 210891 × 23 × 111 × 7191
LCM(63267,63272) = 4003029624