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What is the Least Common Multiple of 11398 and 11418?

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 11398 and 11418 is 65071182.

LCM(11398,11418) = 65071182

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Least Common Multiple of 11398 and 11418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11398 and 11418, than apply into the LCM equation.

GCF(11398,11418) = 2
LCM(11398,11418) = ( 11398 × 11418) / 2
LCM(11398,11418) = 130142364 / 2
LCM(11398,11418) = 65071182

Least Common Multiple (LCM) of 11398 and 11418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11398 and 11418. First we will calculate the prime factors of 11398 and 11418.

Prime Factorization of 11398

Prime factors of 11398 are 2, 41, 139. Prime factorization of 11398 in exponential form is:

11398 = 21 × 411 × 1391

Prime Factorization of 11418

Prime factors of 11418 are 2, 3, 11, 173. Prime factorization of 11418 in exponential form is:

11418 = 21 × 31 × 111 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 11398 and 11418.

LCM(11398,11418) = 21 × 411 × 1391 × 31 × 111 × 1731
LCM(11398,11418) = 65071182