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What is the Least Common Multiple of 40811 and 40818?

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 40811 and 40818 is 1665823398.

LCM(40811,40818) = 1665823398

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Least Common Multiple of 40811 and 40818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40811 and 40818, than apply into the LCM equation.

GCF(40811,40818) = 1
LCM(40811,40818) = ( 40811 × 40818) / 1
LCM(40811,40818) = 1665823398 / 1
LCM(40811,40818) = 1665823398

Least Common Multiple (LCM) of 40811 and 40818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40811 and 40818. First we will calculate the prime factors of 40811 and 40818.

Prime Factorization of 40811

Prime factors of 40811 are 37, 1103. Prime factorization of 40811 in exponential form is:

40811 = 371 × 11031

Prime Factorization of 40818

Prime factors of 40818 are 2, 3, 6803. Prime factorization of 40818 in exponential form is:

40818 = 21 × 31 × 68031

Now multiplying the highest exponent prime factors to calculate the LCM of 40811 and 40818.

LCM(40811,40818) = 371 × 11031 × 21 × 31 × 68031
LCM(40811,40818) = 1665823398