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What is the Least Common Multiple of 63371 and 63378?

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 63371 and 63378 is 573761034.

LCM(63371,63378) = 573761034

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Least Common Multiple of 63371 and 63378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63371 and 63378, than apply into the LCM equation.

GCF(63371,63378) = 7
LCM(63371,63378) = ( 63371 × 63378) / 7
LCM(63371,63378) = 4016327238 / 7
LCM(63371,63378) = 573761034

Least Common Multiple (LCM) of 63371 and 63378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63371 and 63378. First we will calculate the prime factors of 63371 and 63378.

Prime Factorization of 63371

Prime factors of 63371 are 7, 11, 823. Prime factorization of 63371 in exponential form is:

63371 = 71 × 111 × 8231

Prime Factorization of 63378

Prime factors of 63378 are 2, 3, 7, 503. Prime factorization of 63378 in exponential form is:

63378 = 21 × 32 × 71 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 63371 and 63378.

LCM(63371,63378) = 71 × 111 × 8231 × 21 × 32 × 5031
LCM(63371,63378) = 573761034