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What is the Least Common Multiple of 11717 and 11730?

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 11730 is 137440410.

LCM(11717,11730) = 137440410

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Least Common Multiple of 11717 and 11730 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 11730, than apply into the LCM equation.

GCF(11717,11730) = 1
LCM(11717,11730) = ( 11717 × 11730) / 1
LCM(11717,11730) = 137440410 / 1
LCM(11717,11730) = 137440410

Least Common Multiple (LCM) of 11717 and 11730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11717 and 11730. First we will calculate the prime factors of 11717 and 11730.

Prime Factorization of 11717

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

11717 = 117171

Prime Factorization of 11730

Prime factors of 11730 are 2, 3, 5, 17, 23. Prime factorization of 11730 in exponential form is:

11730 = 21 × 31 × 51 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 11717 and 11730.

LCM(11717,11730) = 117171 × 21 × 31 × 51 × 171 × 231
LCM(11717,11730) = 137440410