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What is the Least Common Multiple of 63367 and 63382?

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 63382 is 4016327194.

LCM(63367,63382) = 4016327194

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Least Common Multiple of 63367 and 63382 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 63382, than apply into the LCM equation.

GCF(63367,63382) = 1
LCM(63367,63382) = ( 63367 × 63382) / 1
LCM(63367,63382) = 4016327194 / 1
LCM(63367,63382) = 4016327194

Least Common Multiple (LCM) of 63367 and 63382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63367 and 63382. First we will calculate the prime factors of 63367 and 63382.

Prime Factorization of 63367

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

63367 = 633671

Prime Factorization of 63382

Prime factors of 63382 are 2, 11, 43, 67. Prime factorization of 63382 in exponential form is:

63382 = 21 × 111 × 431 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 63367 and 63382.

LCM(63367,63382) = 633671 × 21 × 111 × 431 × 671
LCM(63367,63382) = 4016327194