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What is the Least Common Multiple of 14911 and 14917?

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 14911 and 14917 is 222427387.

LCM(14911,14917) = 222427387

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Least Common Multiple of 14911 and 14917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14911 and 14917, than apply into the LCM equation.

GCF(14911,14917) = 1
LCM(14911,14917) = ( 14911 × 14917) / 1
LCM(14911,14917) = 222427387 / 1
LCM(14911,14917) = 222427387

Least Common Multiple (LCM) of 14911 and 14917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14911 and 14917. First we will calculate the prime factors of 14911 and 14917.

Prime Factorization of 14911

Prime factors of 14911 are 13, 31, 37. Prime factorization of 14911 in exponential form is:

14911 = 131 × 311 × 371

Prime Factorization of 14917

Prime factors of 14917 are 7, 2131. Prime factorization of 14917 in exponential form is:

14917 = 71 × 21311

Now multiplying the highest exponent prime factors to calculate the LCM of 14911 and 14917.

LCM(14911,14917) = 131 × 311 × 371 × 71 × 21311
LCM(14911,14917) = 222427387