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What is the Least Common Multiple of 41047 and 41065?

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 41047 and 41065 is 1685595055.

LCM(41047,41065) = 1685595055

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Least Common Multiple of 41047 and 41065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41047 and 41065, than apply into the LCM equation.

GCF(41047,41065) = 1
LCM(41047,41065) = ( 41047 × 41065) / 1
LCM(41047,41065) = 1685595055 / 1
LCM(41047,41065) = 1685595055

Least Common Multiple (LCM) of 41047 and 41065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41047 and 41065. First we will calculate the prime factors of 41047 and 41065.

Prime Factorization of 41047

Prime factors of 41047 are 41047. Prime factorization of 41047 in exponential form is:

41047 = 410471

Prime Factorization of 41065

Prime factors of 41065 are 5, 43, 191. Prime factorization of 41065 in exponential form is:

41065 = 51 × 431 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 41047 and 41065.

LCM(41047,41065) = 410471 × 51 × 431 × 1911
LCM(41047,41065) = 1685595055