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What is the Least Common Multiple of 3102 and 3115?

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 3102 and 3115 is 9662730.

LCM(3102,3115) = 9662730

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Least Common Multiple of 3102 and 3115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3102 and 3115, than apply into the LCM equation.

GCF(3102,3115) = 1
LCM(3102,3115) = ( 3102 × 3115) / 1
LCM(3102,3115) = 9662730 / 1
LCM(3102,3115) = 9662730

Least Common Multiple (LCM) of 3102 and 3115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3102 and 3115. First we will calculate the prime factors of 3102 and 3115.

Prime Factorization of 3102

Prime factors of 3102 are 2, 3, 11, 47. Prime factorization of 3102 in exponential form is:

3102 = 21 × 31 × 111 × 471

Prime Factorization of 3115

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

3115 = 51 × 71 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 3102 and 3115.

LCM(3102,3115) = 21 × 31 × 111 × 471 × 51 × 71 × 891
LCM(3102,3115) = 9662730