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What is the Least Common Multiple of 3115 and 3128?

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 3115 and 3128 is 9743720.

LCM(3115,3128) = 9743720

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Least Common Multiple of 3115 and 3128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3115 and 3128, than apply into the LCM equation.

GCF(3115,3128) = 1
LCM(3115,3128) = ( 3115 × 3128) / 1
LCM(3115,3128) = 9743720 / 1
LCM(3115,3128) = 9743720

Least Common Multiple (LCM) of 3115 and 3128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3115 and 3128. First we will calculate the prime factors of 3115 and 3128.

Prime Factorization of 3115

Prime factors of 3115 are 5, 7, 89. Prime factorization of 3115 in exponential form is:

3115 = 51 × 71 × 891

Prime Factorization of 3128

Prime factors of 3128 are 2, 17, 23. Prime factorization of 3128 in exponential form is:

3128 = 23 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 3115 and 3128.

LCM(3115,3128) = 51 × 71 × 891 × 23 × 171 × 231
LCM(3115,3128) = 9743720