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What is the Least Common Multiple of 3116 and 3131?

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 3116 and 3131 is 9756196.

LCM(3116,3131) = 9756196

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Least Common Multiple of 3116 and 3131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3116 and 3131, than apply into the LCM equation.

GCF(3116,3131) = 1
LCM(3116,3131) = ( 3116 × 3131) / 1
LCM(3116,3131) = 9756196 / 1
LCM(3116,3131) = 9756196

Least Common Multiple (LCM) of 3116 and 3131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3116 and 3131. First we will calculate the prime factors of 3116 and 3131.

Prime Factorization of 3116

Prime factors of 3116 are 2, 19, 41. Prime factorization of 3116 in exponential form is:

3116 = 22 × 191 × 411

Prime Factorization of 3131

Prime factors of 3131 are 31, 101. Prime factorization of 3131 in exponential form is:

3131 = 311 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3116 and 3131.

LCM(3116,3131) = 22 × 191 × 411 × 311 × 1011
LCM(3116,3131) = 9756196