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What is the Least Common Multiple of 41127 and 41146?

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 41127 and 41146 is 1692211542.

LCM(41127,41146) = 1692211542

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Least Common Multiple of 41127 and 41146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41127 and 41146, than apply into the LCM equation.

GCF(41127,41146) = 1
LCM(41127,41146) = ( 41127 × 41146) / 1
LCM(41127,41146) = 1692211542 / 1
LCM(41127,41146) = 1692211542

Least Common Multiple (LCM) of 41127 and 41146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41127 and 41146. First we will calculate the prime factors of 41127 and 41146.

Prime Factorization of 41127

Prime factors of 41127 are 3, 13709. Prime factorization of 41127 in exponential form is:

41127 = 31 × 137091

Prime Factorization of 41146

Prime factors of 41146 are 2, 7, 2939. Prime factorization of 41146 in exponential form is:

41146 = 21 × 71 × 29391

Now multiplying the highest exponent prime factors to calculate the LCM of 41127 and 41146.

LCM(41127,41146) = 31 × 137091 × 21 × 71 × 29391
LCM(41127,41146) = 1692211542