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What is the Least Common Multiple of 41149 and 41155?

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 41149 and 41155 is 1693487095.

LCM(41149,41155) = 1693487095

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Least Common Multiple of 41149 and 41155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41149 and 41155, than apply into the LCM equation.

GCF(41149,41155) = 1
LCM(41149,41155) = ( 41149 × 41155) / 1
LCM(41149,41155) = 1693487095 / 1
LCM(41149,41155) = 1693487095

Least Common Multiple (LCM) of 41149 and 41155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41149 and 41155. First we will calculate the prime factors of 41149 and 41155.

Prime Factorization of 41149

Prime factors of 41149 are 41149. Prime factorization of 41149 in exponential form is:

41149 = 411491

Prime Factorization of 41155

Prime factors of 41155 are 5, 8231. Prime factorization of 41155 in exponential form is:

41155 = 51 × 82311

Now multiplying the highest exponent prime factors to calculate the LCM of 41149 and 41155.

LCM(41149,41155) = 411491 × 51 × 82311
LCM(41149,41155) = 1693487095