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What is the Least Common Multiple of 8338 and 8350?

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 8338 and 8350 is 34811150.

LCM(8338,8350) = 34811150

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Least Common Multiple of 8338 and 8350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8338 and 8350, than apply into the LCM equation.

GCF(8338,8350) = 2
LCM(8338,8350) = ( 8338 × 8350) / 2
LCM(8338,8350) = 69622300 / 2
LCM(8338,8350) = 34811150

Least Common Multiple (LCM) of 8338 and 8350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8338 and 8350. First we will calculate the prime factors of 8338 and 8350.

Prime Factorization of 8338

Prime factors of 8338 are 2, 11, 379. Prime factorization of 8338 in exponential form is:

8338 = 21 × 111 × 3791

Prime Factorization of 8350

Prime factors of 8350 are 2, 5, 167. Prime factorization of 8350 in exponential form is:

8350 = 21 × 52 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 8338 and 8350.

LCM(8338,8350) = 21 × 111 × 3791 × 52 × 1671
LCM(8338,8350) = 34811150