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What is the Least Common Multiple of 18391 and 18406?

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 18391 and 18406 is 338504746.

LCM(18391,18406) = 338504746

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Least Common Multiple of 18391 and 18406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18391 and 18406, than apply into the LCM equation.

GCF(18391,18406) = 1
LCM(18391,18406) = ( 18391 × 18406) / 1
LCM(18391,18406) = 338504746 / 1
LCM(18391,18406) = 338504746

Least Common Multiple (LCM) of 18391 and 18406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18391 and 18406. First we will calculate the prime factors of 18391 and 18406.

Prime Factorization of 18391

Prime factors of 18391 are 53, 347. Prime factorization of 18391 in exponential form is:

18391 = 531 × 3471

Prime Factorization of 18406

Prime factors of 18406 are 2, 9203. Prime factorization of 18406 in exponential form is:

18406 = 21 × 92031

Now multiplying the highest exponent prime factors to calculate the LCM of 18391 and 18406.

LCM(18391,18406) = 531 × 3471 × 21 × 92031
LCM(18391,18406) = 338504746