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What is the Least Common Multiple of 4081 and 4085?

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 4081 and 4085 is 16670885.

LCM(4081,4085) = 16670885

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Least Common Multiple of 4081 and 4085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4081 and 4085, than apply into the LCM equation.

GCF(4081,4085) = 1
LCM(4081,4085) = ( 4081 × 4085) / 1
LCM(4081,4085) = 16670885 / 1
LCM(4081,4085) = 16670885

Least Common Multiple (LCM) of 4081 and 4085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4081 and 4085. First we will calculate the prime factors of 4081 and 4085.

Prime Factorization of 4081

Prime factors of 4081 are 7, 11, 53. Prime factorization of 4081 in exponential form is:

4081 = 71 × 111 × 531

Prime Factorization of 4085

Prime factors of 4085 are 5, 19, 43. Prime factorization of 4085 in exponential form is:

4085 = 51 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 4081 and 4085.

LCM(4081,4085) = 71 × 111 × 531 × 51 × 191 × 431
LCM(4081,4085) = 16670885