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What is the Least Common Multiple of 8185 and 8205?

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 8185 and 8205 is 13431585.

LCM(8185,8205) = 13431585

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Least Common Multiple of 8185 and 8205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8185 and 8205, than apply into the LCM equation.

GCF(8185,8205) = 5
LCM(8185,8205) = ( 8185 × 8205) / 5
LCM(8185,8205) = 67157925 / 5
LCM(8185,8205) = 13431585

Least Common Multiple (LCM) of 8185 and 8205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8185 and 8205. First we will calculate the prime factors of 8185 and 8205.

Prime Factorization of 8185

Prime factors of 8185 are 5, 1637. Prime factorization of 8185 in exponential form is:

8185 = 51 × 16371

Prime Factorization of 8205

Prime factors of 8205 are 3, 5, 547. Prime factorization of 8205 in exponential form is:

8205 = 31 × 51 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 8185 and 8205.

LCM(8185,8205) = 51 × 16371 × 31 × 5471
LCM(8185,8205) = 13431585