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What is the Least Common Multiple of 3809 and 3823?

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 3809 and 3823 is 14561807.

LCM(3809,3823) = 14561807

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Least Common Multiple of 3809 and 3823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3809 and 3823, than apply into the LCM equation.

GCF(3809,3823) = 1
LCM(3809,3823) = ( 3809 × 3823) / 1
LCM(3809,3823) = 14561807 / 1
LCM(3809,3823) = 14561807

Least Common Multiple (LCM) of 3809 and 3823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3809 and 3823. First we will calculate the prime factors of 3809 and 3823.

Prime Factorization of 3809

Prime factors of 3809 are 13, 293. Prime factorization of 3809 in exponential form is:

3809 = 131 × 2931

Prime Factorization of 3823

Prime factors of 3823 are 3823. Prime factorization of 3823 in exponential form is:

3823 = 38231

Now multiplying the highest exponent prime factors to calculate the LCM of 3809 and 3823.

LCM(3809,3823) = 131 × 2931 × 38231
LCM(3809,3823) = 14561807