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What is the Least Common Multiple of 8204 and 8220?

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 8220 is 16859220.

LCM(8204,8220) = 16859220

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Least Common Multiple of 8204 and 8220 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 8220, than apply into the LCM equation.

GCF(8204,8220) = 4
LCM(8204,8220) = ( 8204 × 8220) / 4
LCM(8204,8220) = 67436880 / 4
LCM(8204,8220) = 16859220

Least Common Multiple (LCM) of 8204 and 8220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8204 and 8220. First we will calculate the prime factors of 8204 and 8220.

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 8220

Prime factors of 8220 are 2, 3, 5, 137. Prime factorization of 8220 in exponential form is:

8220 = 22 × 31 × 51 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8204 and 8220.

LCM(8204,8220) = 22 × 71 × 2931 × 31 × 51 × 1371
LCM(8204,8220) = 16859220