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What is the Least Common Multiple of 18598 and 18618?

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 18618 is 173128782.

LCM(18598,18618) = 173128782

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Least Common Multiple of 18598 and 18618 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 18618, than apply into the LCM equation.

GCF(18598,18618) = 2
LCM(18598,18618) = ( 18598 × 18618) / 2
LCM(18598,18618) = 346257564 / 2
LCM(18598,18618) = 173128782

Least Common Multiple (LCM) of 18598 and 18618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18598 and 18618. First we will calculate the prime factors of 18598 and 18618.

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 18618

Prime factors of 18618 are 2, 3, 29, 107. Prime factorization of 18618 in exponential form is:

18618 = 21 × 31 × 291 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 18598 and 18618.

LCM(18598,18618) = 21 × 171 × 5471 × 31 × 291 × 1071
LCM(18598,18618) = 173128782