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What is the Least Common Multiple of 16312 and 16318?

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 16312 and 16318 is 133089608.

LCM(16312,16318) = 133089608

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Least Common Multiple of 16312 and 16318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16312 and 16318, than apply into the LCM equation.

GCF(16312,16318) = 2
LCM(16312,16318) = ( 16312 × 16318) / 2
LCM(16312,16318) = 266179216 / 2
LCM(16312,16318) = 133089608

Least Common Multiple (LCM) of 16312 and 16318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16312 and 16318. First we will calculate the prime factors of 16312 and 16318.

Prime Factorization of 16312

Prime factors of 16312 are 2, 2039. Prime factorization of 16312 in exponential form is:

16312 = 23 × 20391

Prime Factorization of 16318

Prime factors of 16318 are 2, 41, 199. Prime factorization of 16318 in exponential form is:

16318 = 21 × 411 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 16312 and 16318.

LCM(16312,16318) = 23 × 20391 × 411 × 1991
LCM(16312,16318) = 133089608