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What is the Least Common Multiple of 2617 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 2617 and 2622 is 6861774.

LCM(2617,2622) = 6861774

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Least Common Multiple of 2617 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 2617 and 2622, than apply into the LCM equation.

GCF(2617,2622) = 1
LCM(2617,2622) = ( 2617 × 2622) / 1
LCM(2617,2622) = 6861774 / 1
LCM(2617,2622) = 6861774

Least Common Multiple (LCM) of 2617 and 2622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2617 and 2622. First we will calculate the prime factors of 2617 and 2622.

Prime Factorization of 2617

Prime factors of 2617 are 2617. Prime factorization of 2617 in exponential form is:

2617 = 26171

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 2617 and 2622.

LCM(2617,2622) = 26171 × 21 × 31 × 191 × 231
LCM(2617,2622) = 6861774