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What is the Least Common Multiple of 5116 and 5120?

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 5116 and 5120 is 6548480.

LCM(5116,5120) = 6548480

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Least Common Multiple of 5116 and 5120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5116 and 5120, than apply into the LCM equation.

GCF(5116,5120) = 4
LCM(5116,5120) = ( 5116 × 5120) / 4
LCM(5116,5120) = 26193920 / 4
LCM(5116,5120) = 6548480

Least Common Multiple (LCM) of 5116 and 5120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5116 and 5120. First we will calculate the prime factors of 5116 and 5120.

Prime Factorization of 5116

Prime factors of 5116 are 2, 1279. Prime factorization of 5116 in exponential form is:

5116 = 22 × 12791

Prime Factorization of 5120

Prime factors of 5120 are 2, 5. Prime factorization of 5120 in exponential form is:

5120 = 210 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 5116 and 5120.

LCM(5116,5120) = 210 × 12791 × 51
LCM(5116,5120) = 6548480