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What is the Least Common Multiple of 6642 and 6646?

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 6642 and 6646 is 22071366.

LCM(6642,6646) = 22071366

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Least Common Multiple of 6642 and 6646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6642 and 6646, than apply into the LCM equation.

GCF(6642,6646) = 2
LCM(6642,6646) = ( 6642 × 6646) / 2
LCM(6642,6646) = 44142732 / 2
LCM(6642,6646) = 22071366

Least Common Multiple (LCM) of 6642 and 6646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6642 and 6646. First we will calculate the prime factors of 6642 and 6646.

Prime Factorization of 6642

Prime factors of 6642 are 2, 3, 41. Prime factorization of 6642 in exponential form is:

6642 = 21 × 34 × 411

Prime Factorization of 6646

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

6646 = 21 × 33231

Now multiplying the highest exponent prime factors to calculate the LCM of 6642 and 6646.

LCM(6642,6646) = 21 × 34 × 411 × 33231
LCM(6642,6646) = 22071366