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What is the Least Common Multiple of 6324 and 6332?

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 6324 and 6332 is 10010892.

LCM(6324,6332) = 10010892

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Least Common Multiple of 6324 and 6332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6324 and 6332, than apply into the LCM equation.

GCF(6324,6332) = 4
LCM(6324,6332) = ( 6324 × 6332) / 4
LCM(6324,6332) = 40043568 / 4
LCM(6324,6332) = 10010892

Least Common Multiple (LCM) of 6324 and 6332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6324 and 6332. First we will calculate the prime factors of 6324 and 6332.

Prime Factorization of 6324

Prime factors of 6324 are 2, 3, 17, 31. Prime factorization of 6324 in exponential form is:

6324 = 22 × 31 × 171 × 311

Prime Factorization of 6332

Prime factors of 6332 are 2, 1583. Prime factorization of 6332 in exponential form is:

6332 = 22 × 15831

Now multiplying the highest exponent prime factors to calculate the LCM of 6324 and 6332.

LCM(6324,6332) = 22 × 31 × 171 × 311 × 15831
LCM(6324,6332) = 10010892