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What is the Least Common Multiple of 41129 and 41136?

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 41129 and 41136 is 1691882544.

LCM(41129,41136) = 1691882544

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Least Common Multiple of 41129 and 41136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41129 and 41136, than apply into the LCM equation.

GCF(41129,41136) = 1
LCM(41129,41136) = ( 41129 × 41136) / 1
LCM(41129,41136) = 1691882544 / 1
LCM(41129,41136) = 1691882544

Least Common Multiple (LCM) of 41129 and 41136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41129 and 41136. First we will calculate the prime factors of 41129 and 41136.

Prime Factorization of 41129

Prime factors of 41129 are 11, 3739. Prime factorization of 41129 in exponential form is:

41129 = 111 × 37391

Prime Factorization of 41136

Prime factors of 41136 are 2, 3, 857. Prime factorization of 41136 in exponential form is:

41136 = 24 × 31 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 41129 and 41136.

LCM(41129,41136) = 111 × 37391 × 24 × 31 × 8571
LCM(41129,41136) = 1691882544