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What is the Least Common Multiple of 9131 and 9140?

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 9131 and 9140 is 83457340.

LCM(9131,9140) = 83457340

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Least Common Multiple of 9131 and 9140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9131 and 9140, than apply into the LCM equation.

GCF(9131,9140) = 1
LCM(9131,9140) = ( 9131 × 9140) / 1
LCM(9131,9140) = 83457340 / 1
LCM(9131,9140) = 83457340

Least Common Multiple (LCM) of 9131 and 9140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9131 and 9140. First we will calculate the prime factors of 9131 and 9140.

Prime Factorization of 9131

Prime factors of 9131 are 23, 397. Prime factorization of 9131 in exponential form is:

9131 = 231 × 3971

Prime Factorization of 9140

Prime factors of 9140 are 2, 5, 457. Prime factorization of 9140 in exponential form is:

9140 = 22 × 51 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 9131 and 9140.

LCM(9131,9140) = 231 × 3971 × 22 × 51 × 4571
LCM(9131,9140) = 83457340