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What is the Least Common Multiple of 31171 and 31175?

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 31171 and 31175 is 971755925.

LCM(31171,31175) = 971755925

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Least Common Multiple of 31171 and 31175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31171 and 31175, than apply into the LCM equation.

GCF(31171,31175) = 1
LCM(31171,31175) = ( 31171 × 31175) / 1
LCM(31171,31175) = 971755925 / 1
LCM(31171,31175) = 971755925

Least Common Multiple (LCM) of 31171 and 31175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31171 and 31175. First we will calculate the prime factors of 31171 and 31175.

Prime Factorization of 31171

Prime factors of 31171 are 7, 61, 73. Prime factorization of 31171 in exponential form is:

31171 = 71 × 611 × 731

Prime Factorization of 31175

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

31175 = 52 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 31171 and 31175.

LCM(31171,31175) = 71 × 611 × 731 × 52 × 291 × 431
LCM(31171,31175) = 971755925