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What is the Least Common Multiple of 5102 and 5112?

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 5112 is 13040712.

LCM(5102,5112) = 13040712

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Least Common Multiple of 5102 and 5112 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 5112, than apply into the LCM equation.

GCF(5102,5112) = 2
LCM(5102,5112) = ( 5102 × 5112) / 2
LCM(5102,5112) = 26081424 / 2
LCM(5102,5112) = 13040712

Least Common Multiple (LCM) of 5102 and 5112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5102 and 5112. First we will calculate the prime factors of 5102 and 5112.

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 5112

Prime factors of 5112 are 2, 3, 71. Prime factorization of 5112 in exponential form is:

5112 = 23 × 32 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 5102 and 5112.

LCM(5102,5112) = 23 × 25511 × 32 × 711
LCM(5102,5112) = 13040712