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What is the Least Common Multiple of 6622 and 6637?

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 6622 and 6637 is 43950214.

LCM(6622,6637) = 43950214

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Least Common Multiple of 6622 and 6637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6622 and 6637, than apply into the LCM equation.

GCF(6622,6637) = 1
LCM(6622,6637) = ( 6622 × 6637) / 1
LCM(6622,6637) = 43950214 / 1
LCM(6622,6637) = 43950214

Least Common Multiple (LCM) of 6622 and 6637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6622 and 6637. First we will calculate the prime factors of 6622 and 6637.

Prime Factorization of 6622

Prime factors of 6622 are 2, 7, 11, 43. Prime factorization of 6622 in exponential form is:

6622 = 21 × 71 × 111 × 431

Prime Factorization of 6637

Prime factors of 6637 are 6637. Prime factorization of 6637 in exponential form is:

6637 = 66371

Now multiplying the highest exponent prime factors to calculate the LCM of 6622 and 6637.

LCM(6622,6637) = 21 × 71 × 111 × 431 × 66371
LCM(6622,6637) = 43950214