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What is the Least Common Multiple of 41169 and 41183?

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 41169 and 41183 is 1695462927.

LCM(41169,41183) = 1695462927

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Least Common Multiple of 41169 and 41183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41169 and 41183, than apply into the LCM equation.

GCF(41169,41183) = 1
LCM(41169,41183) = ( 41169 × 41183) / 1
LCM(41169,41183) = 1695462927 / 1
LCM(41169,41183) = 1695462927

Least Common Multiple (LCM) of 41169 and 41183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41169 and 41183. First we will calculate the prime factors of 41169 and 41183.

Prime Factorization of 41169

Prime factors of 41169 are 3, 13723. Prime factorization of 41169 in exponential form is:

41169 = 31 × 137231

Prime Factorization of 41183

Prime factors of 41183 are 41183. Prime factorization of 41183 in exponential form is:

41183 = 411831

Now multiplying the highest exponent prime factors to calculate the LCM of 41169 and 41183.

LCM(41169,41183) = 31 × 137231 × 411831
LCM(41169,41183) = 1695462927