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What is the Least Common Multiple of 8294 and 8300?

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 8294 and 8300 is 34420100.

LCM(8294,8300) = 34420100

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Least Common Multiple of 8294 and 8300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8294 and 8300, than apply into the LCM equation.

GCF(8294,8300) = 2
LCM(8294,8300) = ( 8294 × 8300) / 2
LCM(8294,8300) = 68840200 / 2
LCM(8294,8300) = 34420100

Least Common Multiple (LCM) of 8294 and 8300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8294 and 8300. First we will calculate the prime factors of 8294 and 8300.

Prime Factorization of 8294

Prime factors of 8294 are 2, 11, 13, 29. Prime factorization of 8294 in exponential form is:

8294 = 21 × 111 × 131 × 291

Prime Factorization of 8300

Prime factors of 8300 are 2, 5, 83. Prime factorization of 8300 in exponential form is:

8300 = 22 × 52 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 8294 and 8300.

LCM(8294,8300) = 22 × 111 × 131 × 291 × 52 × 831
LCM(8294,8300) = 34420100