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What is the Least Common Multiple of 16272 and 16286?

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 16272 and 16286 is 132502896.

LCM(16272,16286) = 132502896

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Least Common Multiple of 16272 and 16286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16272 and 16286, than apply into the LCM equation.

GCF(16272,16286) = 2
LCM(16272,16286) = ( 16272 × 16286) / 2
LCM(16272,16286) = 265005792 / 2
LCM(16272,16286) = 132502896

Least Common Multiple (LCM) of 16272 and 16286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16272 and 16286. First we will calculate the prime factors of 16272 and 16286.

Prime Factorization of 16272

Prime factors of 16272 are 2, 3, 113. Prime factorization of 16272 in exponential form is:

16272 = 24 × 32 × 1131

Prime Factorization of 16286

Prime factors of 16286 are 2, 17, 479. Prime factorization of 16286 in exponential form is:

16286 = 21 × 171 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 16272 and 16286.

LCM(16272,16286) = 24 × 32 × 1131 × 171 × 4791
LCM(16272,16286) = 132502896