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What is the Least Common Multiple of 41059 and 41067?

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 41067 is 1686169953.

LCM(41059,41067) = 1686169953

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Least Common Multiple of 41059 and 41067 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 41067, than apply into the LCM equation.

GCF(41059,41067) = 1
LCM(41059,41067) = ( 41059 × 41067) / 1
LCM(41059,41067) = 1686169953 / 1
LCM(41059,41067) = 1686169953

Least Common Multiple (LCM) of 41059 and 41067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41059 and 41067. First we will calculate the prime factors of 41059 and 41067.

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 41067

Prime factors of 41067 are 3, 13. Prime factorization of 41067 in exponential form is:

41067 = 35 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 41059 and 41067.

LCM(41059,41067) = 191 × 21611 × 35 × 132
LCM(41059,41067) = 1686169953