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What is the Least Common Multiple of 11067 and 11085?

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 11067 and 11085 is 40892565.

LCM(11067,11085) = 40892565

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Least Common Multiple of 11067 and 11085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11067 and 11085, than apply into the LCM equation.

GCF(11067,11085) = 3
LCM(11067,11085) = ( 11067 × 11085) / 3
LCM(11067,11085) = 122677695 / 3
LCM(11067,11085) = 40892565

Least Common Multiple (LCM) of 11067 and 11085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11067 and 11085. First we will calculate the prime factors of 11067 and 11085.

Prime Factorization of 11067

Prime factors of 11067 are 3, 7, 17, 31. Prime factorization of 11067 in exponential form is:

11067 = 31 × 71 × 171 × 311

Prime Factorization of 11085

Prime factors of 11085 are 3, 5, 739. Prime factorization of 11085 in exponential form is:

11085 = 31 × 51 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 11067 and 11085.

LCM(11067,11085) = 31 × 71 × 171 × 311 × 51 × 7391
LCM(11067,11085) = 40892565