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What is the Least Common Multiple of 17619 and 17625?

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 17619 and 17625 is 103511625.

LCM(17619,17625) = 103511625

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Least Common Multiple of 17619 and 17625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17619 and 17625, than apply into the LCM equation.

GCF(17619,17625) = 3
LCM(17619,17625) = ( 17619 × 17625) / 3
LCM(17619,17625) = 310534875 / 3
LCM(17619,17625) = 103511625

Least Common Multiple (LCM) of 17619 and 17625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17619 and 17625. First we will calculate the prime factors of 17619 and 17625.

Prime Factorization of 17619

Prime factors of 17619 are 3, 7, 839. Prime factorization of 17619 in exponential form is:

17619 = 31 × 71 × 8391

Prime Factorization of 17625

Prime factors of 17625 are 3, 5, 47. Prime factorization of 17625 in exponential form is:

17625 = 31 × 53 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 17619 and 17625.

LCM(17619,17625) = 31 × 71 × 8391 × 53 × 471
LCM(17619,17625) = 103511625