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What is the Least Common Multiple of 17623 and 17631?

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 17623 and 17631 is 310711113.

LCM(17623,17631) = 310711113

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Least Common Multiple of 17623 and 17631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17623 and 17631, than apply into the LCM equation.

GCF(17623,17631) = 1
LCM(17623,17631) = ( 17623 × 17631) / 1
LCM(17623,17631) = 310711113 / 1
LCM(17623,17631) = 310711113

Least Common Multiple (LCM) of 17623 and 17631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17623 and 17631. First we will calculate the prime factors of 17623 and 17631.

Prime Factorization of 17623

Prime factors of 17623 are 17623. Prime factorization of 17623 in exponential form is:

17623 = 176231

Prime Factorization of 17631

Prime factors of 17631 are 3, 653. Prime factorization of 17631 in exponential form is:

17631 = 33 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 17623 and 17631.

LCM(17623,17631) = 176231 × 33 × 6531
LCM(17623,17631) = 310711113