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What is the Least Common Multiple of 11717 and 11723?

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 11717 and 11723 is 137358391.

LCM(11717,11723) = 137358391

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Least Common Multiple of 11717 and 11723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11717 and 11723, than apply into the LCM equation.

GCF(11717,11723) = 1
LCM(11717,11723) = ( 11717 × 11723) / 1
LCM(11717,11723) = 137358391 / 1
LCM(11717,11723) = 137358391

Least Common Multiple (LCM) of 11717 and 11723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11717 and 11723. First we will calculate the prime factors of 11717 and 11723.

Prime Factorization of 11717

Prime factors of 11717 are 11717. Prime factorization of 11717 in exponential form is:

11717 = 117171

Prime Factorization of 11723

Prime factors of 11723 are 19, 617. Prime factorization of 11723 in exponential form is:

11723 = 191 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 11717 and 11723.

LCM(11717,11723) = 117171 × 191 × 6171
LCM(11717,11723) = 137358391