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What is the Least Common Multiple of 41007 and 41021?

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 41007 and 41021 is 1682148147.

LCM(41007,41021) = 1682148147

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Least Common Multiple of 41007 and 41021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41007 and 41021, than apply into the LCM equation.

GCF(41007,41021) = 1
LCM(41007,41021) = ( 41007 × 41021) / 1
LCM(41007,41021) = 1682148147 / 1
LCM(41007,41021) = 1682148147

Least Common Multiple (LCM) of 41007 and 41021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41007 and 41021. First we will calculate the prime factors of 41007 and 41021.

Prime Factorization of 41007

Prime factors of 41007 are 3, 13669. Prime factorization of 41007 in exponential form is:

41007 = 31 × 136691

Prime Factorization of 41021

Prime factors of 41021 are 17, 19, 127. Prime factorization of 41021 in exponential form is:

41021 = 171 × 191 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 41007 and 41021.

LCM(41007,41021) = 31 × 136691 × 171 × 191 × 1271
LCM(41007,41021) = 1682148147