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What is the Least Common Multiple of 31139 and 31146?

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 31139 and 31146 is 969855294.

LCM(31139,31146) = 969855294

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Least Common Multiple of 31139 and 31146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31139 and 31146, than apply into the LCM equation.

GCF(31139,31146) = 1
LCM(31139,31146) = ( 31139 × 31146) / 1
LCM(31139,31146) = 969855294 / 1
LCM(31139,31146) = 969855294

Least Common Multiple (LCM) of 31139 and 31146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31139 and 31146. First we will calculate the prime factors of 31139 and 31146.

Prime Factorization of 31139

Prime factors of 31139 are 31139. Prime factorization of 31139 in exponential form is:

31139 = 311391

Prime Factorization of 31146

Prime factors of 31146 are 2, 3, 29, 179. Prime factorization of 31146 in exponential form is:

31146 = 21 × 31 × 291 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 31139 and 31146.

LCM(31139,31146) = 311391 × 21 × 31 × 291 × 1791
LCM(31139,31146) = 969855294