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What is the Least Common Multiple of 31267 and 31273?

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 31267 and 31273 is 977812891.

LCM(31267,31273) = 977812891

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Least Common Multiple of 31267 and 31273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31267 and 31273, than apply into the LCM equation.

GCF(31267,31273) = 1
LCM(31267,31273) = ( 31267 × 31273) / 1
LCM(31267,31273) = 977812891 / 1
LCM(31267,31273) = 977812891

Least Common Multiple (LCM) of 31267 and 31273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31267 and 31273. First we will calculate the prime factors of 31267 and 31273.

Prime Factorization of 31267

Prime factors of 31267 are 31267. Prime factorization of 31267 in exponential form is:

31267 = 312671

Prime Factorization of 31273

Prime factors of 31273 are 11, 2843. Prime factorization of 31273 in exponential form is:

31273 = 111 × 28431

Now multiplying the highest exponent prime factors to calculate the LCM of 31267 and 31273.

LCM(31267,31273) = 312671 × 111 × 28431
LCM(31267,31273) = 977812891