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What is the Least Common Multiple of 17598 and 17618?

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 17598 and 17618 is 155020782.

LCM(17598,17618) = 155020782

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Least Common Multiple of 17598 and 17618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17598 and 17618, than apply into the LCM equation.

GCF(17598,17618) = 2
LCM(17598,17618) = ( 17598 × 17618) / 2
LCM(17598,17618) = 310041564 / 2
LCM(17598,17618) = 155020782

Least Common Multiple (LCM) of 17598 and 17618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17598 and 17618. First we will calculate the prime factors of 17598 and 17618.

Prime Factorization of 17598

Prime factors of 17598 are 2, 3, 7, 419. Prime factorization of 17598 in exponential form is:

17598 = 21 × 31 × 71 × 4191

Prime Factorization of 17618

Prime factors of 17618 are 2, 23, 383. Prime factorization of 17618 in exponential form is:

17618 = 21 × 231 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 17598 and 17618.

LCM(17598,17618) = 21 × 31 × 71 × 4191 × 231 × 3831
LCM(17598,17618) = 155020782