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What is the Least Common Multiple of 12902 and 12910?

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 12902 and 12910 is 83282410.

LCM(12902,12910) = 83282410

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Least Common Multiple of 12902 and 12910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12902 and 12910, than apply into the LCM equation.

GCF(12902,12910) = 2
LCM(12902,12910) = ( 12902 × 12910) / 2
LCM(12902,12910) = 166564820 / 2
LCM(12902,12910) = 83282410

Least Common Multiple (LCM) of 12902 and 12910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12902 and 12910. First we will calculate the prime factors of 12902 and 12910.

Prime Factorization of 12902

Prime factors of 12902 are 2, 6451. Prime factorization of 12902 in exponential form is:

12902 = 21 × 64511

Prime Factorization of 12910

Prime factors of 12910 are 2, 5, 1291. Prime factorization of 12910 in exponential form is:

12910 = 21 × 51 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 12902 and 12910.

LCM(12902,12910) = 21 × 64511 × 51 × 12911
LCM(12902,12910) = 83282410