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What is the Least Common Multiple of 31270 and 31281?

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 31270 and 31281 is 978156870.

LCM(31270,31281) = 978156870

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Least Common Multiple of 31270 and 31281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31270 and 31281, than apply into the LCM equation.

GCF(31270,31281) = 1
LCM(31270,31281) = ( 31270 × 31281) / 1
LCM(31270,31281) = 978156870 / 1
LCM(31270,31281) = 978156870

Least Common Multiple (LCM) of 31270 and 31281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31270 and 31281. First we will calculate the prime factors of 31270 and 31281.

Prime Factorization of 31270

Prime factors of 31270 are 2, 5, 53, 59. Prime factorization of 31270 in exponential form is:

31270 = 21 × 51 × 531 × 591

Prime Factorization of 31281

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

31281 = 31 × 104271

Now multiplying the highest exponent prime factors to calculate the LCM of 31270 and 31281.

LCM(31270,31281) = 21 × 51 × 531 × 591 × 31 × 104271
LCM(31270,31281) = 978156870