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What is the Least Common Multiple of 18115 and 18126?

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 18115 and 18126 is 328352490.

LCM(18115,18126) = 328352490

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Least Common Multiple of 18115 and 18126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18115 and 18126, than apply into the LCM equation.

GCF(18115,18126) = 1
LCM(18115,18126) = ( 18115 × 18126) / 1
LCM(18115,18126) = 328352490 / 1
LCM(18115,18126) = 328352490

Least Common Multiple (LCM) of 18115 and 18126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18115 and 18126. First we will calculate the prime factors of 18115 and 18126.

Prime Factorization of 18115

Prime factors of 18115 are 5, 3623. Prime factorization of 18115 in exponential form is:

18115 = 51 × 36231

Prime Factorization of 18126

Prime factors of 18126 are 2, 3, 19, 53. Prime factorization of 18126 in exponential form is:

18126 = 21 × 32 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 18115 and 18126.

LCM(18115,18126) = 51 × 36231 × 21 × 32 × 191 × 531
LCM(18115,18126) = 328352490