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What is the Least Common Multiple of 41059 and 41071?

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 41059 and 41071 is 1686334189.

LCM(41059,41071) = 1686334189

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Least Common Multiple of 41059 and 41071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41059 and 41071, than apply into the LCM equation.

GCF(41059,41071) = 1
LCM(41059,41071) = ( 41059 × 41071) / 1
LCM(41059,41071) = 1686334189 / 1
LCM(41059,41071) = 1686334189

Least Common Multiple (LCM) of 41059 and 41071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41059 and 41071. First we will calculate the prime factors of 41059 and 41071.

Prime Factorization of 41059

Prime factors of 41059 are 19, 2161. Prime factorization of 41059 in exponential form is:

41059 = 191 × 21611

Prime Factorization of 41071

Prime factors of 41071 are 67, 613. Prime factorization of 41071 in exponential form is:

41071 = 671 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 41059 and 41071.

LCM(41059,41071) = 191 × 21611 × 671 × 6131
LCM(41059,41071) = 1686334189