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What is the Least Common Multiple of 6628 and 6642?

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 6628 and 6642 is 22011588.

LCM(6628,6642) = 22011588

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Least Common Multiple of 6628 and 6642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6628 and 6642, than apply into the LCM equation.

GCF(6628,6642) = 2
LCM(6628,6642) = ( 6628 × 6642) / 2
LCM(6628,6642) = 44023176 / 2
LCM(6628,6642) = 22011588

Least Common Multiple (LCM) of 6628 and 6642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6628 and 6642. First we will calculate the prime factors of 6628 and 6642.

Prime Factorization of 6628

Prime factors of 6628 are 2, 1657. Prime factorization of 6628 in exponential form is:

6628 = 22 × 16571

Prime Factorization of 6642

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

6642 = 21 × 34 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 6628 and 6642.

LCM(6628,6642) = 22 × 16571 × 34 × 411
LCM(6628,6642) = 22011588