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What is the Least Common Multiple of 31175 and 31190?

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 31175 and 31190 is 194469650.

LCM(31175,31190) = 194469650

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Least Common Multiple of 31175 and 31190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31175 and 31190, than apply into the LCM equation.

GCF(31175,31190) = 5
LCM(31175,31190) = ( 31175 × 31190) / 5
LCM(31175,31190) = 972348250 / 5
LCM(31175,31190) = 194469650

Least Common Multiple (LCM) of 31175 and 31190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31175 and 31190. First we will calculate the prime factors of 31175 and 31190.

Prime Factorization of 31175

Prime factors of 31175 are 5, 29, 43. Prime factorization of 31175 in exponential form is:

31175 = 52 × 291 × 431

Prime Factorization of 31190

Prime factors of 31190 are 2, 5, 3119. Prime factorization of 31190 in exponential form is:

31190 = 21 × 51 × 31191

Now multiplying the highest exponent prime factors to calculate the LCM of 31175 and 31190.

LCM(31175,31190) = 52 × 291 × 431 × 21 × 31191
LCM(31175,31190) = 194469650