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What is the Least Common Multiple of 41081 and 41091?

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 41081 and 41091 is 1688059371.

LCM(41081,41091) = 1688059371

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Least Common Multiple of 41081 and 41091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41081 and 41091, than apply into the LCM equation.

GCF(41081,41091) = 1
LCM(41081,41091) = ( 41081 × 41091) / 1
LCM(41081,41091) = 1688059371 / 1
LCM(41081,41091) = 1688059371

Least Common Multiple (LCM) of 41081 and 41091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41081 and 41091. First we will calculate the prime factors of 41081 and 41091.

Prime Factorization of 41081

Prime factors of 41081 are 41081. Prime factorization of 41081 in exponential form is:

41081 = 410811

Prime Factorization of 41091

Prime factors of 41091 are 3, 13697. Prime factorization of 41091 in exponential form is:

41091 = 31 × 136971

Now multiplying the highest exponent prime factors to calculate the LCM of 41081 and 41091.

LCM(41081,41091) = 410811 × 31 × 136971
LCM(41081,41091) = 1688059371