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What is the Least Common Multiple of 31167 and 31180?

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 31167 and 31180 is 971787060.

LCM(31167,31180) = 971787060

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Least Common Multiple of 31167 and 31180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31167 and 31180, than apply into the LCM equation.

GCF(31167,31180) = 1
LCM(31167,31180) = ( 31167 × 31180) / 1
LCM(31167,31180) = 971787060 / 1
LCM(31167,31180) = 971787060

Least Common Multiple (LCM) of 31167 and 31180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31167 and 31180. First we will calculate the prime factors of 31167 and 31180.

Prime Factorization of 31167

Prime factors of 31167 are 3, 3463. Prime factorization of 31167 in exponential form is:

31167 = 32 × 34631

Prime Factorization of 31180

Prime factors of 31180 are 2, 5, 1559. Prime factorization of 31180 in exponential form is:

31180 = 22 × 51 × 15591

Now multiplying the highest exponent prime factors to calculate the LCM of 31167 and 31180.

LCM(31167,31180) = 32 × 34631 × 22 × 51 × 15591
LCM(31167,31180) = 971787060