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What is the Least Common Multiple of 6646 and 6663?

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 6646 and 6663 is 44282298.

LCM(6646,6663) = 44282298

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Least Common Multiple of 6646 and 6663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6646 and 6663, than apply into the LCM equation.

GCF(6646,6663) = 1
LCM(6646,6663) = ( 6646 × 6663) / 1
LCM(6646,6663) = 44282298 / 1
LCM(6646,6663) = 44282298

Least Common Multiple (LCM) of 6646 and 6663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6646 and 6663. First we will calculate the prime factors of 6646 and 6663.

Prime Factorization of 6646

Prime factors of 6646 are 2, 3323. Prime factorization of 6646 in exponential form is:

6646 = 21 × 33231

Prime Factorization of 6663

Prime factors of 6663 are 3, 2221. Prime factorization of 6663 in exponential form is:

6663 = 31 × 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 6646 and 6663.

LCM(6646,6663) = 21 × 33231 × 31 × 22211
LCM(6646,6663) = 44282298