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What is the Least Common Multiple of 14688 and 14695?

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 14688 and 14695 is 215840160.

LCM(14688,14695) = 215840160

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Least Common Multiple of 14688 and 14695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14688 and 14695, than apply into the LCM equation.

GCF(14688,14695) = 1
LCM(14688,14695) = ( 14688 × 14695) / 1
LCM(14688,14695) = 215840160 / 1
LCM(14688,14695) = 215840160

Least Common Multiple (LCM) of 14688 and 14695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14688 and 14695. First we will calculate the prime factors of 14688 and 14695.

Prime Factorization of 14688

Prime factors of 14688 are 2, 3, 17. Prime factorization of 14688 in exponential form is:

14688 = 25 × 33 × 171

Prime Factorization of 14695

Prime factors of 14695 are 5, 2939. Prime factorization of 14695 in exponential form is:

14695 = 51 × 29391

Now multiplying the highest exponent prime factors to calculate the LCM of 14688 and 14695.

LCM(14688,14695) = 25 × 33 × 171 × 51 × 29391
LCM(14688,14695) = 215840160