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What is the Least Common Multiple of 41193 and 41205?

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 41193 and 41205 is 565785855.

LCM(41193,41205) = 565785855

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Least Common Multiple of 41193 and 41205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41193 and 41205, than apply into the LCM equation.

GCF(41193,41205) = 3
LCM(41193,41205) = ( 41193 × 41205) / 3
LCM(41193,41205) = 1697357565 / 3
LCM(41193,41205) = 565785855

Least Common Multiple (LCM) of 41193 and 41205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41193 and 41205. First we will calculate the prime factors of 41193 and 41205.

Prime Factorization of 41193

Prime factors of 41193 are 3, 23, 199. Prime factorization of 41193 in exponential form is:

41193 = 32 × 231 × 1991

Prime Factorization of 41205

Prime factors of 41205 are 3, 5, 41, 67. Prime factorization of 41205 in exponential form is:

41205 = 31 × 51 × 411 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 41193 and 41205.

LCM(41193,41205) = 32 × 231 × 1991 × 51 × 411 × 671
LCM(41193,41205) = 565785855