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What is the Least Common Multiple of 40886 and 40891?

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 40886 and 40891 is 1671869426.

LCM(40886,40891) = 1671869426

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Least Common Multiple of 40886 and 40891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40886 and 40891, than apply into the LCM equation.

GCF(40886,40891) = 1
LCM(40886,40891) = ( 40886 × 40891) / 1
LCM(40886,40891) = 1671869426 / 1
LCM(40886,40891) = 1671869426

Least Common Multiple (LCM) of 40886 and 40891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40886 and 40891. First we will calculate the prime factors of 40886 and 40891.

Prime Factorization of 40886

Prime factors of 40886 are 2, 20443. Prime factorization of 40886 in exponential form is:

40886 = 21 × 204431

Prime Factorization of 40891

Prime factors of 40891 are 103, 397. Prime factorization of 40891 in exponential form is:

40891 = 1031 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 40886 and 40891.

LCM(40886,40891) = 21 × 204431 × 1031 × 3971
LCM(40886,40891) = 1671869426