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What is the Least Common Multiple of 3116 and 3125?

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 3125 is 9737500.

LCM(3116,3125) = 9737500

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Least Common Multiple of 3116 and 3125 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 3125, than apply into the LCM equation.

GCF(3116,3125) = 1
LCM(3116,3125) = ( 3116 × 3125) / 1
LCM(3116,3125) = 9737500 / 1
LCM(3116,3125) = 9737500

Least Common Multiple (LCM) of 3116 and 3125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3116 and 3125. First we will calculate the prime factors of 3116 and 3125.

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 3125

Prime factors of 3125 are 5. Prime factorization of 3125 in exponential form is:

3125 = 55

Now multiplying the highest exponent prime factors to calculate the LCM of 3116 and 3125.

LCM(3116,3125) = 22 × 191 × 411 × 55
LCM(3116,3125) = 9737500