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What is the Least Common Multiple of 31281 and 31295?

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 31281 and 31295 is 978938895.

LCM(31281,31295) = 978938895

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Least Common Multiple of 31281 and 31295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31281 and 31295, than apply into the LCM equation.

GCF(31281,31295) = 1
LCM(31281,31295) = ( 31281 × 31295) / 1
LCM(31281,31295) = 978938895 / 1
LCM(31281,31295) = 978938895

Least Common Multiple (LCM) of 31281 and 31295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31281 and 31295. First we will calculate the prime factors of 31281 and 31295.

Prime Factorization of 31281

Prime factors of 31281 are 3, 10427. Prime factorization of 31281 in exponential form is:

31281 = 31 × 104271

Prime Factorization of 31295

Prime factors of 31295 are 5, 11, 569. Prime factorization of 31295 in exponential form is:

31295 = 51 × 111 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 31281 and 31295.

LCM(31281,31295) = 31 × 104271 × 51 × 111 × 5691
LCM(31281,31295) = 978938895