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What is the Least Common Multiple of 11717 and 11727?

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 11727 is 137405259.

LCM(11717,11727) = 137405259

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Least Common Multiple of 11717 and 11727 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 11727, than apply into the LCM equation.

GCF(11717,11727) = 1
LCM(11717,11727) = ( 11717 × 11727) / 1
LCM(11717,11727) = 137405259 / 1
LCM(11717,11727) = 137405259

Least Common Multiple (LCM) of 11717 and 11727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11717 and 11727. First we will calculate the prime factors of 11717 and 11727.

Prime Factorization of 11717

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

11717 = 117171

Prime Factorization of 11727

Prime factors of 11727 are 3, 1303. Prime factorization of 11727 in exponential form is:

11727 = 32 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 11717 and 11727.

LCM(11717,11727) = 117171 × 32 × 13031
LCM(11717,11727) = 137405259