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What is the Least Common Multiple of 10272 and 10288?

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 10272 and 10288 is 6604896.

LCM(10272,10288) = 6604896

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Least Common Multiple of 10272 and 10288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10272 and 10288, than apply into the LCM equation.

GCF(10272,10288) = 16
LCM(10272,10288) = ( 10272 × 10288) / 16
LCM(10272,10288) = 105678336 / 16
LCM(10272,10288) = 6604896

Least Common Multiple (LCM) of 10272 and 10288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10272 and 10288. First we will calculate the prime factors of 10272 and 10288.

Prime Factorization of 10272

Prime factors of 10272 are 2, 3, 107. Prime factorization of 10272 in exponential form is:

10272 = 25 × 31 × 1071

Prime Factorization of 10288

Prime factors of 10288 are 2, 643. Prime factorization of 10288 in exponential form is:

10288 = 24 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 10272 and 10288.

LCM(10272,10288) = 25 × 31 × 1071 × 6431
LCM(10272,10288) = 6604896