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What is the Least Common Multiple of 16313 and 16320?

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 16320 is 266228160.

LCM(16313,16320) = 266228160

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Least Common Multiple of 16313 and 16320 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 16320, than apply into the LCM equation.

GCF(16313,16320) = 1
LCM(16313,16320) = ( 16313 × 16320) / 1
LCM(16313,16320) = 266228160 / 1
LCM(16313,16320) = 266228160

Least Common Multiple (LCM) of 16313 and 16320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16313 and 16320. First we will calculate the prime factors of 16313 and 16320.

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 16320

Prime factors of 16320 are 2, 3, 5, 17. Prime factorization of 16320 in exponential form is:

16320 = 26 × 31 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 16313 and 16320.

LCM(16313,16320) = 111 × 14831 × 26 × 31 × 51 × 171
LCM(16313,16320) = 266228160