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What is the Least Common Multiple of 6665 and 6684?

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 6665 and 6684 is 44548860.

LCM(6665,6684) = 44548860

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Least Common Multiple of 6665 and 6684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6665 and 6684, than apply into the LCM equation.

GCF(6665,6684) = 1
LCM(6665,6684) = ( 6665 × 6684) / 1
LCM(6665,6684) = 44548860 / 1
LCM(6665,6684) = 44548860

Least Common Multiple (LCM) of 6665 and 6684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6665 and 6684. First we will calculate the prime factors of 6665 and 6684.

Prime Factorization of 6665

Prime factors of 6665 are 5, 31, 43. Prime factorization of 6665 in exponential form is:

6665 = 51 × 311 × 431

Prime Factorization of 6684

Prime factors of 6684 are 2, 3, 557. Prime factorization of 6684 in exponential form is:

6684 = 22 × 31 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 6665 and 6684.

LCM(6665,6684) = 51 × 311 × 431 × 22 × 31 × 5571
LCM(6665,6684) = 44548860