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What is the Least Common Multiple of 18094 and 18107?

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 18094 and 18107 is 327628058.

LCM(18094,18107) = 327628058

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Least Common Multiple of 18094 and 18107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18094 and 18107, than apply into the LCM equation.

GCF(18094,18107) = 1
LCM(18094,18107) = ( 18094 × 18107) / 1
LCM(18094,18107) = 327628058 / 1
LCM(18094,18107) = 327628058

Least Common Multiple (LCM) of 18094 and 18107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18094 and 18107. First we will calculate the prime factors of 18094 and 18107.

Prime Factorization of 18094

Prime factors of 18094 are 2, 83, 109. Prime factorization of 18094 in exponential form is:

18094 = 21 × 831 × 1091

Prime Factorization of 18107

Prime factors of 18107 are 19, 953. Prime factorization of 18107 in exponential form is:

18107 = 191 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 18094 and 18107.

LCM(18094,18107) = 21 × 831 × 1091 × 191 × 9531
LCM(18094,18107) = 327628058