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What is the Least Common Multiple of 12893 and 12902?

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 12893 and 12902 is 166345486.

LCM(12893,12902) = 166345486

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Least Common Multiple of 12893 and 12902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12893 and 12902, than apply into the LCM equation.

GCF(12893,12902) = 1
LCM(12893,12902) = ( 12893 × 12902) / 1
LCM(12893,12902) = 166345486 / 1
LCM(12893,12902) = 166345486

Least Common Multiple (LCM) of 12893 and 12902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12893 and 12902. First we will calculate the prime factors of 12893 and 12902.

Prime Factorization of 12893

Prime factors of 12893 are 12893. Prime factorization of 12893 in exponential form is:

12893 = 128931

Prime Factorization of 12902

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

12902 = 21 × 64511

Now multiplying the highest exponent prime factors to calculate the LCM of 12893 and 12902.

LCM(12893,12902) = 128931 × 21 × 64511
LCM(12893,12902) = 166345486