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What is the Least Common Multiple of 31117 and 31133?

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 31117 and 31133 is 968765561.

LCM(31117,31133) = 968765561

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Least Common Multiple of 31117 and 31133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31117 and 31133, than apply into the LCM equation.

GCF(31117,31133) = 1
LCM(31117,31133) = ( 31117 × 31133) / 1
LCM(31117,31133) = 968765561 / 1
LCM(31117,31133) = 968765561

Least Common Multiple (LCM) of 31117 and 31133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31117 and 31133. First we will calculate the prime factors of 31117 and 31133.

Prime Factorization of 31117

Prime factors of 31117 are 29, 37. Prime factorization of 31117 in exponential form is:

31117 = 292 × 371

Prime Factorization of 31133

Prime factors of 31133 are 163, 191. Prime factorization of 31133 in exponential form is:

31133 = 1631 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 31117 and 31133.

LCM(31117,31133) = 292 × 371 × 1631 × 1911
LCM(31117,31133) = 968765561