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What is the Least Common Multiple of 16617 and 16625?

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 16617 and 16625 is 276257625.

LCM(16617,16625) = 276257625

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Least Common Multiple of 16617 and 16625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16617 and 16625, than apply into the LCM equation.

GCF(16617,16625) = 1
LCM(16617,16625) = ( 16617 × 16625) / 1
LCM(16617,16625) = 276257625 / 1
LCM(16617,16625) = 276257625

Least Common Multiple (LCM) of 16617 and 16625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16617 and 16625. First we will calculate the prime factors of 16617 and 16625.

Prime Factorization of 16617

Prime factors of 16617 are 3, 29, 191. Prime factorization of 16617 in exponential form is:

16617 = 31 × 291 × 1911

Prime Factorization of 16625

Prime factors of 16625 are 5, 7, 19. Prime factorization of 16625 in exponential form is:

16625 = 53 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 16617 and 16625.

LCM(16617,16625) = 31 × 291 × 1911 × 53 × 71 × 191
LCM(16617,16625) = 276257625