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What is the Least Common Multiple of 16280 and 16294?

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 16280 and 16294 is 132633160.

LCM(16280,16294) = 132633160

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Least Common Multiple of 16280 and 16294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16280 and 16294, than apply into the LCM equation.

GCF(16280,16294) = 2
LCM(16280,16294) = ( 16280 × 16294) / 2
LCM(16280,16294) = 265266320 / 2
LCM(16280,16294) = 132633160

Least Common Multiple (LCM) of 16280 and 16294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16280 and 16294. First we will calculate the prime factors of 16280 and 16294.

Prime Factorization of 16280

Prime factors of 16280 are 2, 5, 11, 37. Prime factorization of 16280 in exponential form is:

16280 = 23 × 51 × 111 × 371

Prime Factorization of 16294

Prime factors of 16294 are 2, 8147. Prime factorization of 16294 in exponential form is:

16294 = 21 × 81471

Now multiplying the highest exponent prime factors to calculate the LCM of 16280 and 16294.

LCM(16280,16294) = 23 × 51 × 111 × 371 × 81471
LCM(16280,16294) = 132633160