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What is the Least Common Multiple of 2617 and 2632?

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 2632 is 6887944.

LCM(2617,2632) = 6887944

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Least Common Multiple of 2617 and 2632 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 2632, than apply into the LCM equation.

GCF(2617,2632) = 1
LCM(2617,2632) = ( 2617 × 2632) / 1
LCM(2617,2632) = 6887944 / 1
LCM(2617,2632) = 6887944

Least Common Multiple (LCM) of 2617 and 2632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2617 and 2632. First we will calculate the prime factors of 2617 and 2632.

Prime Factorization of 2617

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

2617 = 26171

Prime Factorization of 2632

Prime factors of 2632 are 2, 7, 47. Prime factorization of 2632 in exponential form is:

2632 = 23 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 2617 and 2632.

LCM(2617,2632) = 26171 × 23 × 71 × 471
LCM(2617,2632) = 6887944