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What is the Least Common Multiple of 40804 and 40811?

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 40804 and 40811 is 1665252044.

LCM(40804,40811) = 1665252044

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Least Common Multiple of 40804 and 40811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40804 and 40811, than apply into the LCM equation.

GCF(40804,40811) = 1
LCM(40804,40811) = ( 40804 × 40811) / 1
LCM(40804,40811) = 1665252044 / 1
LCM(40804,40811) = 1665252044

Least Common Multiple (LCM) of 40804 and 40811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40804 and 40811. First we will calculate the prime factors of 40804 and 40811.

Prime Factorization of 40804

Prime factors of 40804 are 2, 101. Prime factorization of 40804 in exponential form is:

40804 = 22 × 1012

Prime Factorization of 40811

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

40811 = 371 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 40804 and 40811.

LCM(40804,40811) = 22 × 1012 × 371 × 11031
LCM(40804,40811) = 1665252044