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What is the Least Common Multiple of 18111 and 18130?

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 18111 and 18130 is 328352430.

LCM(18111,18130) = 328352430

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Least Common Multiple of 18111 and 18130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18111 and 18130, than apply into the LCM equation.

GCF(18111,18130) = 1
LCM(18111,18130) = ( 18111 × 18130) / 1
LCM(18111,18130) = 328352430 / 1
LCM(18111,18130) = 328352430

Least Common Multiple (LCM) of 18111 and 18130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18111 and 18130. First we will calculate the prime factors of 18111 and 18130.

Prime Factorization of 18111

Prime factors of 18111 are 3, 6037. Prime factorization of 18111 in exponential form is:

18111 = 31 × 60371

Prime Factorization of 18130

Prime factors of 18130 are 2, 5, 7, 37. Prime factorization of 18130 in exponential form is:

18130 = 21 × 51 × 72 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 18111 and 18130.

LCM(18111,18130) = 31 × 60371 × 21 × 51 × 72 × 371
LCM(18111,18130) = 328352430