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What is the Least Common Multiple of 17903 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 17903 and 17912 is 320678536.

LCM(17903,17912) = 320678536

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Least Common Multiple of 17903 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 17903 and 17912, than apply into the LCM equation.

GCF(17903,17912) = 1
LCM(17903,17912) = ( 17903 × 17912) / 1
LCM(17903,17912) = 320678536 / 1
LCM(17903,17912) = 320678536

Least Common Multiple (LCM) of 17903 and 17912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17903 and 17912. First we will calculate the prime factors of 17903 and 17912.

Prime Factorization of 17903

Prime factors of 17903 are 17903. Prime factorization of 17903 in exponential form is:

17903 = 179031

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 17903 and 17912.

LCM(17903,17912) = 179031 × 23 × 22391
LCM(17903,17912) = 320678536