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What is the Least Common Multiple of 8131 and 8140?

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 8131 and 8140 is 66186340.

LCM(8131,8140) = 66186340

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Least Common Multiple of 8131 and 8140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8131 and 8140, than apply into the LCM equation.

GCF(8131,8140) = 1
LCM(8131,8140) = ( 8131 × 8140) / 1
LCM(8131,8140) = 66186340 / 1
LCM(8131,8140) = 66186340

Least Common Multiple (LCM) of 8131 and 8140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8131 and 8140. First we will calculate the prime factors of 8131 and 8140.

Prime Factorization of 8131

Prime factors of 8131 are 47, 173. Prime factorization of 8131 in exponential form is:

8131 = 471 × 1731

Prime Factorization of 8140

Prime factors of 8140 are 2, 5, 11, 37. Prime factorization of 8140 in exponential form is:

8140 = 22 × 51 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 8131 and 8140.

LCM(8131,8140) = 471 × 1731 × 22 × 51 × 111 × 371
LCM(8131,8140) = 66186340