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What is the Least Common Multiple of 30599 and 30618?

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 30599 and 30618 is 936880182.

LCM(30599,30618) = 936880182

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Least Common Multiple of 30599 and 30618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30599 and 30618, than apply into the LCM equation.

GCF(30599,30618) = 1
LCM(30599,30618) = ( 30599 × 30618) / 1
LCM(30599,30618) = 936880182 / 1
LCM(30599,30618) = 936880182

Least Common Multiple (LCM) of 30599 and 30618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30599 and 30618. First we will calculate the prime factors of 30599 and 30618.

Prime Factorization of 30599

Prime factors of 30599 are 37, 827. Prime factorization of 30599 in exponential form is:

30599 = 371 × 8271

Prime Factorization of 30618

Prime factors of 30618 are 2, 3, 7. Prime factorization of 30618 in exponential form is:

30618 = 21 × 37 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 30599 and 30618.

LCM(30599,30618) = 371 × 8271 × 21 × 37 × 71
LCM(30599,30618) = 936880182