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What is the Least Common Multiple of 12800 and 12812?

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 12800 and 12812 is 40998400.

LCM(12800,12812) = 40998400

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Least Common Multiple of 12800 and 12812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12800 and 12812, than apply into the LCM equation.

GCF(12800,12812) = 4
LCM(12800,12812) = ( 12800 × 12812) / 4
LCM(12800,12812) = 163993600 / 4
LCM(12800,12812) = 40998400

Least Common Multiple (LCM) of 12800 and 12812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12800 and 12812. First we will calculate the prime factors of 12800 and 12812.

Prime Factorization of 12800

Prime factors of 12800 are 2, 5. Prime factorization of 12800 in exponential form is:

12800 = 29 × 52

Prime Factorization of 12812

Prime factors of 12812 are 2, 3203. Prime factorization of 12812 in exponential form is:

12812 = 22 × 32031

Now multiplying the highest exponent prime factors to calculate the LCM of 12800 and 12812.

LCM(12800,12812) = 29 × 52 × 32031
LCM(12800,12812) = 40998400