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What is the Least Common Multiple of 18407 and 18416?

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 18407 and 18416 is 338983312.

LCM(18407,18416) = 338983312

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Least Common Multiple of 18407 and 18416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18407 and 18416, than apply into the LCM equation.

GCF(18407,18416) = 1
LCM(18407,18416) = ( 18407 × 18416) / 1
LCM(18407,18416) = 338983312 / 1
LCM(18407,18416) = 338983312

Least Common Multiple (LCM) of 18407 and 18416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18407 and 18416. First we will calculate the prime factors of 18407 and 18416.

Prime Factorization of 18407

Prime factors of 18407 are 79, 233. Prime factorization of 18407 in exponential form is:

18407 = 791 × 2331

Prime Factorization of 18416

Prime factors of 18416 are 2, 1151. Prime factorization of 18416 in exponential form is:

18416 = 24 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 18407 and 18416.

LCM(18407,18416) = 791 × 2331 × 24 × 11511
LCM(18407,18416) = 338983312