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What is the Least Common Multiple of 31178 and 31189?

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 31178 and 31189 is 972410642.

LCM(31178,31189) = 972410642

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Least Common Multiple of 31178 and 31189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31178 and 31189, than apply into the LCM equation.

GCF(31178,31189) = 1
LCM(31178,31189) = ( 31178 × 31189) / 1
LCM(31178,31189) = 972410642 / 1
LCM(31178,31189) = 972410642

Least Common Multiple (LCM) of 31178 and 31189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31178 and 31189. First we will calculate the prime factors of 31178 and 31189.

Prime Factorization of 31178

Prime factors of 31178 are 2, 7, 17, 131. Prime factorization of 31178 in exponential form is:

31178 = 21 × 71 × 171 × 1311

Prime Factorization of 31189

Prime factors of 31189 are 31189. Prime factorization of 31189 in exponential form is:

31189 = 311891

Now multiplying the highest exponent prime factors to calculate the LCM of 31178 and 31189.

LCM(31178,31189) = 21 × 71 × 171 × 1311 × 311891
LCM(31178,31189) = 972410642