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What is the Least Common Multiple of 6324 and 6330?

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 6330 is 6671820.

LCM(6324,6330) = 6671820

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Least Common Multiple of 6324 and 6330 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 6330, than apply into the LCM equation.

GCF(6324,6330) = 6
LCM(6324,6330) = ( 6324 × 6330) / 6
LCM(6324,6330) = 40030920 / 6
LCM(6324,6330) = 6671820

Least Common Multiple (LCM) of 6324 and 6330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6324 and 6330. First we will calculate the prime factors of 6324 and 6330.

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 6330

Prime factors of 6330 are 2, 3, 5, 211. Prime factorization of 6330 in exponential form is:

6330 = 21 × 31 × 51 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 6324 and 6330.

LCM(6324,6330) = 22 × 31 × 171 × 311 × 51 × 2111
LCM(6324,6330) = 6671820