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What is the Least Common Multiple of 5102 and 5115?

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 5102 and 5115 is 26096730.

LCM(5102,5115) = 26096730

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Least Common Multiple of 5102 and 5115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5102 and 5115, than apply into the LCM equation.

GCF(5102,5115) = 1
LCM(5102,5115) = ( 5102 × 5115) / 1
LCM(5102,5115) = 26096730 / 1
LCM(5102,5115) = 26096730

Least Common Multiple (LCM) of 5102 and 5115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5102 and 5115. First we will calculate the prime factors of 5102 and 5115.

Prime Factorization of 5102

Prime factors of 5102 are 2, 2551. Prime factorization of 5102 in exponential form is:

5102 = 21 × 25511

Prime Factorization of 5115

Prime factors of 5115 are 3, 5, 11, 31. Prime factorization of 5115 in exponential form is:

5115 = 31 × 51 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 5102 and 5115.

LCM(5102,5115) = 21 × 25511 × 31 × 51 × 111 × 311
LCM(5102,5115) = 26096730