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What is the Least Common Multiple of 6329 and 6342?

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 6329 and 6342 is 40138518.

LCM(6329,6342) = 40138518

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Least Common Multiple of 6329 and 6342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6329 and 6342, than apply into the LCM equation.

GCF(6329,6342) = 1
LCM(6329,6342) = ( 6329 × 6342) / 1
LCM(6329,6342) = 40138518 / 1
LCM(6329,6342) = 40138518

Least Common Multiple (LCM) of 6329 and 6342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6329 and 6342. First we will calculate the prime factors of 6329 and 6342.

Prime Factorization of 6329

Prime factors of 6329 are 6329. Prime factorization of 6329 in exponential form is:

6329 = 63291

Prime Factorization of 6342

Prime factors of 6342 are 2, 3, 7, 151. Prime factorization of 6342 in exponential form is:

6342 = 21 × 31 × 71 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 6329 and 6342.

LCM(6329,6342) = 63291 × 21 × 31 × 71 × 1511
LCM(6329,6342) = 40138518