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What is the Least Common Multiple of 63367 and 63372?

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 63367 and 63372 is 4015693524.

LCM(63367,63372) = 4015693524

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Least Common Multiple of 63367 and 63372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63367 and 63372, than apply into the LCM equation.

GCF(63367,63372) = 1
LCM(63367,63372) = ( 63367 × 63372) / 1
LCM(63367,63372) = 4015693524 / 1
LCM(63367,63372) = 4015693524

Least Common Multiple (LCM) of 63367 and 63372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63367 and 63372. First we will calculate the prime factors of 63367 and 63372.

Prime Factorization of 63367

Prime factors of 63367 are 63367. Prime factorization of 63367 in exponential form is:

63367 = 633671

Prime Factorization of 63372

Prime factors of 63372 are 2, 3, 5281. Prime factorization of 63372 in exponential form is:

63372 = 22 × 31 × 52811

Now multiplying the highest exponent prime factors to calculate the LCM of 63367 and 63372.

LCM(63367,63372) = 633671 × 22 × 31 × 52811
LCM(63367,63372) = 4015693524