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What is the Least Common Multiple of 18557 and 18574?

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 18557 and 18574 is 344677718.

LCM(18557,18574) = 344677718

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Least Common Multiple of 18557 and 18574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18557 and 18574, than apply into the LCM equation.

GCF(18557,18574) = 1
LCM(18557,18574) = ( 18557 × 18574) / 1
LCM(18557,18574) = 344677718 / 1
LCM(18557,18574) = 344677718

Least Common Multiple (LCM) of 18557 and 18574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18557 and 18574. First we will calculate the prime factors of 18557 and 18574.

Prime Factorization of 18557

Prime factors of 18557 are 7, 11, 241. Prime factorization of 18557 in exponential form is:

18557 = 71 × 111 × 2411

Prime Factorization of 18574

Prime factors of 18574 are 2, 37, 251. Prime factorization of 18574 in exponential form is:

18574 = 21 × 371 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 18557 and 18574.

LCM(18557,18574) = 71 × 111 × 2411 × 21 × 371 × 2511
LCM(18557,18574) = 344677718