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What is the Least Common Multiple of 8194 and 8203?

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 8194 and 8203 is 67215382.

LCM(8194,8203) = 67215382

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Least Common Multiple of 8194 and 8203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8194 and 8203, than apply into the LCM equation.

GCF(8194,8203) = 1
LCM(8194,8203) = ( 8194 × 8203) / 1
LCM(8194,8203) = 67215382 / 1
LCM(8194,8203) = 67215382

Least Common Multiple (LCM) of 8194 and 8203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8194 and 8203. First we will calculate the prime factors of 8194 and 8203.

Prime Factorization of 8194

Prime factors of 8194 are 2, 17, 241. Prime factorization of 8194 in exponential form is:

8194 = 21 × 171 × 2411

Prime Factorization of 8203

Prime factors of 8203 are 13, 631. Prime factorization of 8203 in exponential form is:

8203 = 131 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 8194 and 8203.

LCM(8194,8203) = 21 × 171 × 2411 × 131 × 6311
LCM(8194,8203) = 67215382