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What is the Least Common Multiple of 17629 and 17635?

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 17629 and 17635 is 310887415.

LCM(17629,17635) = 310887415

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Least Common Multiple of 17629 and 17635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17629 and 17635, than apply into the LCM equation.

GCF(17629,17635) = 1
LCM(17629,17635) = ( 17629 × 17635) / 1
LCM(17629,17635) = 310887415 / 1
LCM(17629,17635) = 310887415

Least Common Multiple (LCM) of 17629 and 17635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17629 and 17635. First we will calculate the prime factors of 17629 and 17635.

Prime Factorization of 17629

Prime factors of 17629 are 17, 61. Prime factorization of 17629 in exponential form is:

17629 = 172 × 611

Prime Factorization of 17635

Prime factors of 17635 are 5, 3527. Prime factorization of 17635 in exponential form is:

17635 = 51 × 35271

Now multiplying the highest exponent prime factors to calculate the LCM of 17629 and 17635.

LCM(17629,17635) = 172 × 611 × 51 × 35271
LCM(17629,17635) = 310887415