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What is the Least Common Multiple of 12783 and 12800?

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 12783 and 12800 is 163622400.

LCM(12783,12800) = 163622400

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Least Common Multiple of 12783 and 12800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12783 and 12800, than apply into the LCM equation.

GCF(12783,12800) = 1
LCM(12783,12800) = ( 12783 × 12800) / 1
LCM(12783,12800) = 163622400 / 1
LCM(12783,12800) = 163622400

Least Common Multiple (LCM) of 12783 and 12800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12783 and 12800. First we will calculate the prime factors of 12783 and 12800.

Prime Factorization of 12783

Prime factors of 12783 are 3, 4261. Prime factorization of 12783 in exponential form is:

12783 = 31 × 42611

Prime Factorization of 12800

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

12800 = 29 × 52

Now multiplying the highest exponent prime factors to calculate the LCM of 12783 and 12800.

LCM(12783,12800) = 31 × 42611 × 29 × 52
LCM(12783,12800) = 163622400