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What is the Least Common Multiple of 17899 and 17912?

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 17899 and 17912 is 320606888.

LCM(17899,17912) = 320606888

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Least Common Multiple of 17899 and 17912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17899 and 17912, than apply into the LCM equation.

GCF(17899,17912) = 1
LCM(17899,17912) = ( 17899 × 17912) / 1
LCM(17899,17912) = 320606888 / 1
LCM(17899,17912) = 320606888

Least Common Multiple (LCM) of 17899 and 17912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17899 and 17912. First we will calculate the prime factors of 17899 and 17912.

Prime Factorization of 17899

Prime factors of 17899 are 7, 2557. Prime factorization of 17899 in exponential form is:

17899 = 71 × 25571

Prime Factorization of 17912

Prime factors of 17912 are 2, 2239. Prime factorization of 17912 in exponential form is:

17912 = 23 × 22391

Now multiplying the highest exponent prime factors to calculate the LCM of 17899 and 17912.

LCM(17899,17912) = 71 × 25571 × 23 × 22391
LCM(17899,17912) = 320606888