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What is the Least Common Multiple of 18598 and 18613?

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 18598 and 18613 is 346164574.

LCM(18598,18613) = 346164574

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Least Common Multiple of 18598 and 18613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18598 and 18613, than apply into the LCM equation.

GCF(18598,18613) = 1
LCM(18598,18613) = ( 18598 × 18613) / 1
LCM(18598,18613) = 346164574 / 1
LCM(18598,18613) = 346164574

Least Common Multiple (LCM) of 18598 and 18613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18598 and 18613. First we will calculate the prime factors of 18598 and 18613.

Prime Factorization of 18598

Prime factors of 18598 are 2, 17, 547. Prime factorization of 18598 in exponential form is:

18598 = 21 × 171 × 5471

Prime Factorization of 18613

Prime factors of 18613 are 7, 2659. Prime factorization of 18613 in exponential form is:

18613 = 71 × 26591

Now multiplying the highest exponent prime factors to calculate the LCM of 18598 and 18613.

LCM(18598,18613) = 21 × 171 × 5471 × 71 × 26591
LCM(18598,18613) = 346164574