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What is the Least Common Multiple of 31265 and 31282?

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 31265 and 31282 is 978031730.

LCM(31265,31282) = 978031730

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Least Common Multiple of 31265 and 31282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31265 and 31282, than apply into the LCM equation.

GCF(31265,31282) = 1
LCM(31265,31282) = ( 31265 × 31282) / 1
LCM(31265,31282) = 978031730 / 1
LCM(31265,31282) = 978031730

Least Common Multiple (LCM) of 31265 and 31282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31265 and 31282. First we will calculate the prime factors of 31265 and 31282.

Prime Factorization of 31265

Prime factors of 31265 are 5, 13, 37. Prime factorization of 31265 in exponential form is:

31265 = 51 × 132 × 371

Prime Factorization of 31282

Prime factors of 31282 are 2, 15641. Prime factorization of 31282 in exponential form is:

31282 = 21 × 156411

Now multiplying the highest exponent prime factors to calculate the LCM of 31265 and 31282.

LCM(31265,31282) = 51 × 132 × 371 × 21 × 156411
LCM(31265,31282) = 978031730