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What is the Least Common Multiple of 17358 and 17373?

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 17358 and 17373 is 100520178.

LCM(17358,17373) = 100520178

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Least Common Multiple of 17358 and 17373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17358 and 17373, than apply into the LCM equation.

GCF(17358,17373) = 3
LCM(17358,17373) = ( 17358 × 17373) / 3
LCM(17358,17373) = 301560534 / 3
LCM(17358,17373) = 100520178

Least Common Multiple (LCM) of 17358 and 17373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17358 and 17373. First we will calculate the prime factors of 17358 and 17373.

Prime Factorization of 17358

Prime factors of 17358 are 2, 3, 11, 263. Prime factorization of 17358 in exponential form is:

17358 = 21 × 31 × 111 × 2631

Prime Factorization of 17373

Prime factors of 17373 are 3, 5791. Prime factorization of 17373 in exponential form is:

17373 = 31 × 57911

Now multiplying the highest exponent prime factors to calculate the LCM of 17358 and 17373.

LCM(17358,17373) = 21 × 31 × 111 × 2631 × 57911
LCM(17358,17373) = 100520178