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What is the Least Common Multiple of 14358 and 14366?

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 14358 and 14366 is 103133514.

LCM(14358,14366) = 103133514

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Least Common Multiple of 14358 and 14366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14358 and 14366, than apply into the LCM equation.

GCF(14358,14366) = 2
LCM(14358,14366) = ( 14358 × 14366) / 2
LCM(14358,14366) = 206267028 / 2
LCM(14358,14366) = 103133514

Least Common Multiple (LCM) of 14358 and 14366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14358 and 14366. First we will calculate the prime factors of 14358 and 14366.

Prime Factorization of 14358

Prime factors of 14358 are 2, 3, 2393. Prime factorization of 14358 in exponential form is:

14358 = 21 × 31 × 23931

Prime Factorization of 14366

Prime factors of 14366 are 2, 11, 653. Prime factorization of 14366 in exponential form is:

14366 = 21 × 111 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 14358 and 14366.

LCM(14358,14366) = 21 × 31 × 23931 × 111 × 6531
LCM(14358,14366) = 103133514