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What is the Least Common Multiple of 3791 and 3809?

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 3791 and 3809 is 14439919.

LCM(3791,3809) = 14439919

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Least Common Multiple of 3791 and 3809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3791 and 3809, than apply into the LCM equation.

GCF(3791,3809) = 1
LCM(3791,3809) = ( 3791 × 3809) / 1
LCM(3791,3809) = 14439919 / 1
LCM(3791,3809) = 14439919

Least Common Multiple (LCM) of 3791 and 3809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3791 and 3809. First we will calculate the prime factors of 3791 and 3809.

Prime Factorization of 3791

Prime factors of 3791 are 17, 223. Prime factorization of 3791 in exponential form is:

3791 = 171 × 2231

Prime Factorization of 3809

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

3809 = 131 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 3791 and 3809.

LCM(3791,3809) = 171 × 2231 × 131 × 2931
LCM(3791,3809) = 14439919