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What is the Least Common Multiple of 41062 and 41079?

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 41062 and 41079 is 1686785898.

LCM(41062,41079) = 1686785898

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Least Common Multiple of 41062 and 41079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41062 and 41079, than apply into the LCM equation.

GCF(41062,41079) = 1
LCM(41062,41079) = ( 41062 × 41079) / 1
LCM(41062,41079) = 1686785898 / 1
LCM(41062,41079) = 1686785898

Least Common Multiple (LCM) of 41062 and 41079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41062 and 41079. First we will calculate the prime factors of 41062 and 41079.

Prime Factorization of 41062

Prime factors of 41062 are 2, 7, 419. Prime factorization of 41062 in exponential form is:

41062 = 21 × 72 × 4191

Prime Factorization of 41079

Prime factors of 41079 are 3, 13693. Prime factorization of 41079 in exponential form is:

41079 = 31 × 136931

Now multiplying the highest exponent prime factors to calculate the LCM of 41062 and 41079.

LCM(41062,41079) = 21 × 72 × 4191 × 31 × 136931
LCM(41062,41079) = 1686785898