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What is the Least Common Multiple of 8300 and 8311?

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 8300 and 8311 is 68981300.

LCM(8300,8311) = 68981300

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Least Common Multiple of 8300 and 8311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8300 and 8311, than apply into the LCM equation.

GCF(8300,8311) = 1
LCM(8300,8311) = ( 8300 × 8311) / 1
LCM(8300,8311) = 68981300 / 1
LCM(8300,8311) = 68981300

Least Common Multiple (LCM) of 8300 and 8311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8300 and 8311. First we will calculate the prime factors of 8300 and 8311.

Prime Factorization of 8300

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

8300 = 22 × 52 × 831

Prime Factorization of 8311

Prime factors of 8311 are 8311. Prime factorization of 8311 in exponential form is:

8311 = 83111

Now multiplying the highest exponent prime factors to calculate the LCM of 8300 and 8311.

LCM(8300,8311) = 22 × 52 × 831 × 83111
LCM(8300,8311) = 68981300