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What is the Least Common Multiple of 6658 and 6676?

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 6658 and 6676 is 22224404.

LCM(6658,6676) = 22224404

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Least Common Multiple of 6658 and 6676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6658 and 6676, than apply into the LCM equation.

GCF(6658,6676) = 2
LCM(6658,6676) = ( 6658 × 6676) / 2
LCM(6658,6676) = 44448808 / 2
LCM(6658,6676) = 22224404

Least Common Multiple (LCM) of 6658 and 6676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6658 and 6676. First we will calculate the prime factors of 6658 and 6676.

Prime Factorization of 6658

Prime factors of 6658 are 2, 3329. Prime factorization of 6658 in exponential form is:

6658 = 21 × 33291

Prime Factorization of 6676

Prime factors of 6676 are 2, 1669. Prime factorization of 6676 in exponential form is:

6676 = 22 × 16691

Now multiplying the highest exponent prime factors to calculate the LCM of 6658 and 6676.

LCM(6658,6676) = 22 × 33291 × 16691
LCM(6658,6676) = 22224404