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What is the Least Common Multiple of 2607 and 2622?

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 2622 is 2278518.

LCM(2607,2622) = 2278518

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Least Common Multiple of 2607 and 2622 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 2622, than apply into the LCM equation.

GCF(2607,2622) = 3
LCM(2607,2622) = ( 2607 × 2622) / 3
LCM(2607,2622) = 6835554 / 3
LCM(2607,2622) = 2278518

Least Common Multiple (LCM) of 2607 and 2622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2607 and 2622. First we will calculate the prime factors of 2607 and 2622.

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 2622

Prime factors of 2622 are 2, 3, 19, 23. Prime factorization of 2622 in exponential form is:

2622 = 21 × 31 × 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 2607 and 2622.

LCM(2607,2622) = 31 × 111 × 791 × 21 × 191 × 231
LCM(2607,2622) = 2278518