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What is the Least Common Multiple of 12785 and 12796?

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 12785 and 12796 is 163596860.

LCM(12785,12796) = 163596860

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Least Common Multiple of 12785 and 12796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12785 and 12796, than apply into the LCM equation.

GCF(12785,12796) = 1
LCM(12785,12796) = ( 12785 × 12796) / 1
LCM(12785,12796) = 163596860 / 1
LCM(12785,12796) = 163596860

Least Common Multiple (LCM) of 12785 and 12796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12785 and 12796. First we will calculate the prime factors of 12785 and 12796.

Prime Factorization of 12785

Prime factors of 12785 are 5, 2557. Prime factorization of 12785 in exponential form is:

12785 = 51 × 25571

Prime Factorization of 12796

Prime factors of 12796 are 2, 7, 457. Prime factorization of 12796 in exponential form is:

12796 = 22 × 71 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 12785 and 12796.

LCM(12785,12796) = 51 × 25571 × 22 × 71 × 4571
LCM(12785,12796) = 163596860