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What is the Least Common Multiple of 809 and 823?

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 809 and 823 is 665807.

LCM(809,823) = 665807

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Least Common Multiple of 809 and 823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 809 and 823, than apply into the LCM equation.

GCF(809,823) = 1
LCM(809,823) = ( 809 × 823) / 1
LCM(809,823) = 665807 / 1
LCM(809,823) = 665807

Least Common Multiple (LCM) of 809 and 823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 809 and 823. First we will calculate the prime factors of 809 and 823.

Prime Factorization of 809

Prime factors of 809 are 809. Prime factorization of 809 in exponential form is:

809 = 8091

Prime Factorization of 823

Prime factors of 823 are 823. Prime factorization of 823 in exponential form is:

823 = 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 809 and 823.

LCM(809,823) = 8091 × 8231
LCM(809,823) = 665807