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What is the Least Common Multiple of 41090 and 41107?

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 41090 and 41107 is 1689086630.

LCM(41090,41107) = 1689086630

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Least Common Multiple of 41090 and 41107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41090 and 41107, than apply into the LCM equation.

GCF(41090,41107) = 1
LCM(41090,41107) = ( 41090 × 41107) / 1
LCM(41090,41107) = 1689086630 / 1
LCM(41090,41107) = 1689086630

Least Common Multiple (LCM) of 41090 and 41107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41090 and 41107. First we will calculate the prime factors of 41090 and 41107.

Prime Factorization of 41090

Prime factors of 41090 are 2, 5, 7, 587. Prime factorization of 41090 in exponential form is:

41090 = 21 × 51 × 71 × 5871

Prime Factorization of 41107

Prime factors of 41107 are 11, 37, 101. Prime factorization of 41107 in exponential form is:

41107 = 111 × 371 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 41090 and 41107.

LCM(41090,41107) = 21 × 51 × 71 × 5871 × 111 × 371 × 1011
LCM(41090,41107) = 1689086630