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What is the Least Common Multiple of 8204 and 8215?

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 8204 and 8215 is 67395860.

LCM(8204,8215) = 67395860

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Least Common Multiple of 8204 and 8215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8204 and 8215, than apply into the LCM equation.

GCF(8204,8215) = 1
LCM(8204,8215) = ( 8204 × 8215) / 1
LCM(8204,8215) = 67395860 / 1
LCM(8204,8215) = 67395860

Least Common Multiple (LCM) of 8204 and 8215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8204 and 8215. First we will calculate the prime factors of 8204 and 8215.

Prime Factorization of 8204

Prime factors of 8204 are 2, 7, 293. Prime factorization of 8204 in exponential form is:

8204 = 22 × 71 × 2931

Prime Factorization of 8215

Prime factors of 8215 are 5, 31, 53. Prime factorization of 8215 in exponential form is:

8215 = 51 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 8204 and 8215.

LCM(8204,8215) = 22 × 71 × 2931 × 51 × 311 × 531
LCM(8204,8215) = 67395860