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What is the Least Common Multiple of 3116 and 3120?

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 3120 is 2430480.

LCM(3116,3120) = 2430480

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Least Common Multiple of 3116 and 3120 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 3120, than apply into the LCM equation.

GCF(3116,3120) = 4
LCM(3116,3120) = ( 3116 × 3120) / 4
LCM(3116,3120) = 9721920 / 4
LCM(3116,3120) = 2430480

Least Common Multiple (LCM) of 3116 and 3120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3116 and 3120. First we will calculate the prime factors of 3116 and 3120.

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 3120

Prime factors of 3120 are 2, 3, 5, 13. Prime factorization of 3120 in exponential form is:

3120 = 24 × 31 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 3116 and 3120.

LCM(3116,3120) = 24 × 191 × 411 × 31 × 51 × 131
LCM(3116,3120) = 2430480