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What is the Least Common Multiple of 11494 and 11500?

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 11494 and 11500 is 66090500.

LCM(11494,11500) = 66090500

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Least Common Multiple of 11494 and 11500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11494 and 11500, than apply into the LCM equation.

GCF(11494,11500) = 2
LCM(11494,11500) = ( 11494 × 11500) / 2
LCM(11494,11500) = 132181000 / 2
LCM(11494,11500) = 66090500

Least Common Multiple (LCM) of 11494 and 11500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11494 and 11500. First we will calculate the prime factors of 11494 and 11500.

Prime Factorization of 11494

Prime factors of 11494 are 2, 7, 821. Prime factorization of 11494 in exponential form is:

11494 = 21 × 71 × 8211

Prime Factorization of 11500

Prime factors of 11500 are 2, 5, 23. Prime factorization of 11500 in exponential form is:

11500 = 22 × 53 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 11494 and 11500.

LCM(11494,11500) = 22 × 71 × 8211 × 53 × 231
LCM(11494,11500) = 66090500