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What is the Least Common Multiple of 17431 and 17444?

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 17431 and 17444 is 304066364.

LCM(17431,17444) = 304066364

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Least Common Multiple of 17431 and 17444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17431 and 17444, than apply into the LCM equation.

GCF(17431,17444) = 1
LCM(17431,17444) = ( 17431 × 17444) / 1
LCM(17431,17444) = 304066364 / 1
LCM(17431,17444) = 304066364

Least Common Multiple (LCM) of 17431 and 17444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17431 and 17444. First we will calculate the prime factors of 17431 and 17444.

Prime Factorization of 17431

Prime factors of 17431 are 17431. Prime factorization of 17431 in exponential form is:

17431 = 174311

Prime Factorization of 17444

Prime factors of 17444 are 2, 7, 89. Prime factorization of 17444 in exponential form is:

17444 = 22 × 72 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 17431 and 17444.

LCM(17431,17444) = 174311 × 22 × 72 × 891
LCM(17431,17444) = 304066364