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What is the Least Common Multiple of 6602 and 6612?

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 6602 and 6612 is 21826212.

LCM(6602,6612) = 21826212

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Least Common Multiple of 6602 and 6612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6602 and 6612, than apply into the LCM equation.

GCF(6602,6612) = 2
LCM(6602,6612) = ( 6602 × 6612) / 2
LCM(6602,6612) = 43652424 / 2
LCM(6602,6612) = 21826212

Least Common Multiple (LCM) of 6602 and 6612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6602 and 6612. First we will calculate the prime factors of 6602 and 6612.

Prime Factorization of 6602

Prime factors of 6602 are 2, 3301. Prime factorization of 6602 in exponential form is:

6602 = 21 × 33011

Prime Factorization of 6612

Prime factors of 6612 are 2, 3, 19, 29. Prime factorization of 6612 in exponential form is:

6612 = 22 × 31 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 6602 and 6612.

LCM(6602,6612) = 22 × 33011 × 31 × 191 × 291
LCM(6602,6612) = 21826212