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What is the Least Common Multiple of 41046 and 41051?

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 41046 and 41051 is 1684979346.

LCM(41046,41051) = 1684979346

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Least Common Multiple of 41046 and 41051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41046 and 41051, than apply into the LCM equation.

GCF(41046,41051) = 1
LCM(41046,41051) = ( 41046 × 41051) / 1
LCM(41046,41051) = 1684979346 / 1
LCM(41046,41051) = 1684979346

Least Common Multiple (LCM) of 41046 and 41051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41046 and 41051. First we will calculate the prime factors of 41046 and 41051.

Prime Factorization of 41046

Prime factors of 41046 are 2, 3, 6841. Prime factorization of 41046 in exponential form is:

41046 = 21 × 31 × 68411

Prime Factorization of 41051

Prime factors of 41051 are 41051. Prime factorization of 41051 in exponential form is:

41051 = 410511

Now multiplying the highest exponent prime factors to calculate the LCM of 41046 and 41051.

LCM(41046,41051) = 21 × 31 × 68411 × 410511
LCM(41046,41051) = 1684979346