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What is the Least Common Multiple of 10255 and 10272?

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 10255 and 10272 is 105339360.

LCM(10255,10272) = 105339360

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Least Common Multiple of 10255 and 10272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10255 and 10272, than apply into the LCM equation.

GCF(10255,10272) = 1
LCM(10255,10272) = ( 10255 × 10272) / 1
LCM(10255,10272) = 105339360 / 1
LCM(10255,10272) = 105339360

Least Common Multiple (LCM) of 10255 and 10272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10255 and 10272. First we will calculate the prime factors of 10255 and 10272.

Prime Factorization of 10255

Prime factors of 10255 are 5, 7, 293. Prime factorization of 10255 in exponential form is:

10255 = 51 × 71 × 2931

Prime Factorization of 10272

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

10272 = 25 × 31 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 10255 and 10272.

LCM(10255,10272) = 51 × 71 × 2931 × 25 × 31 × 1071
LCM(10255,10272) = 105339360