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What is the Least Common Multiple of 2607 and 2621?

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 2607 and 2621 is 6832947.

LCM(2607,2621) = 6832947

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Least Common Multiple of 2607 and 2621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2607 and 2621, than apply into the LCM equation.

GCF(2607,2621) = 1
LCM(2607,2621) = ( 2607 × 2621) / 1
LCM(2607,2621) = 6832947 / 1
LCM(2607,2621) = 6832947

Least Common Multiple (LCM) of 2607 and 2621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2607 and 2621. First we will calculate the prime factors of 2607 and 2621.

Prime Factorization of 2607

Prime factors of 2607 are 3, 11, 79. Prime factorization of 2607 in exponential form is:

2607 = 31 × 111 × 791

Prime Factorization of 2621

Prime factors of 2621 are 2621. Prime factorization of 2621 in exponential form is:

2621 = 26211

Now multiplying the highest exponent prime factors to calculate the LCM of 2607 and 2621.

LCM(2607,2621) = 31 × 111 × 791 × 26211
LCM(2607,2621) = 6832947