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What is the Least Common Multiple of 16313 and 16329?

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 16313 and 16329 is 266374977.

LCM(16313,16329) = 266374977

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Least Common Multiple of 16313 and 16329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16313 and 16329, than apply into the LCM equation.

GCF(16313,16329) = 1
LCM(16313,16329) = ( 16313 × 16329) / 1
LCM(16313,16329) = 266374977 / 1
LCM(16313,16329) = 266374977

Least Common Multiple (LCM) of 16313 and 16329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16313 and 16329. First we will calculate the prime factors of 16313 and 16329.

Prime Factorization of 16313

Prime factors of 16313 are 11, 1483. Prime factorization of 16313 in exponential form is:

16313 = 111 × 14831

Prime Factorization of 16329

Prime factors of 16329 are 3, 5443. Prime factorization of 16329 in exponential form is:

16329 = 31 × 54431

Now multiplying the highest exponent prime factors to calculate the LCM of 16313 and 16329.

LCM(16313,16329) = 111 × 14831 × 31 × 54431
LCM(16313,16329) = 266374977