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What is the Least Common Multiple of 18598 and 18610?

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 18610 is 173054390.

LCM(18598,18610) = 173054390

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Least Common Multiple of 18598 and 18610 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 18610, than apply into the LCM equation.

GCF(18598,18610) = 2
LCM(18598,18610) = ( 18598 × 18610) / 2
LCM(18598,18610) = 346108780 / 2
LCM(18598,18610) = 173054390

Least Common Multiple (LCM) of 18598 and 18610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18598 and 18610. First we will calculate the prime factors of 18598 and 18610.

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 18610

Prime factors of 18610 are 2, 5, 1861. Prime factorization of 18610 in exponential form is:

18610 = 21 × 51 × 18611

Now multiplying the highest exponent prime factors to calculate the LCM of 18598 and 18610.

LCM(18598,18610) = 21 × 171 × 5471 × 51 × 18611
LCM(18598,18610) = 173054390