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What is the Least Common Multiple of 31182 and 31194?

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 31182 and 31194 is 162115218.

LCM(31182,31194) = 162115218

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Least Common Multiple of 31182 and 31194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31182 and 31194, than apply into the LCM equation.

GCF(31182,31194) = 6
LCM(31182,31194) = ( 31182 × 31194) / 6
LCM(31182,31194) = 972691308 / 6
LCM(31182,31194) = 162115218

Least Common Multiple (LCM) of 31182 and 31194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31182 and 31194. First we will calculate the prime factors of 31182 and 31194.

Prime Factorization of 31182

Prime factors of 31182 are 2, 3, 5197. Prime factorization of 31182 in exponential form is:

31182 = 21 × 31 × 51971

Prime Factorization of 31194

Prime factors of 31194 are 2, 3, 1733. Prime factorization of 31194 in exponential form is:

31194 = 21 × 32 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 31182 and 31194.

LCM(31182,31194) = 21 × 32 × 51971 × 17331
LCM(31182,31194) = 162115218