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What is the Least Common Multiple of 41127 and 41134?

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 41134 is 1691718018.

LCM(41127,41134) = 1691718018

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Least Common Multiple of 41127 and 41134 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 41134, than apply into the LCM equation.

GCF(41127,41134) = 1
LCM(41127,41134) = ( 41127 × 41134) / 1
LCM(41127,41134) = 1691718018 / 1
LCM(41127,41134) = 1691718018

Least Common Multiple (LCM) of 41127 and 41134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41127 and 41134. First we will calculate the prime factors of 41127 and 41134.

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 41134

Prime factors of 41134 are 2, 131, 157. Prime factorization of 41134 in exponential form is:

41134 = 21 × 1311 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 41127 and 41134.

LCM(41127,41134) = 31 × 137091 × 21 × 1311 × 1571
LCM(41127,41134) = 1691718018