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What is the Least Common Multiple of 11718 and 11729?

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 11718 and 11729 is 137440422.

LCM(11718,11729) = 137440422

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Least Common Multiple of 11718 and 11729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11718 and 11729, than apply into the LCM equation.

GCF(11718,11729) = 1
LCM(11718,11729) = ( 11718 × 11729) / 1
LCM(11718,11729) = 137440422 / 1
LCM(11718,11729) = 137440422

Least Common Multiple (LCM) of 11718 and 11729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11718 and 11729. First we will calculate the prime factors of 11718 and 11729.

Prime Factorization of 11718

Prime factors of 11718 are 2, 3, 7, 31. Prime factorization of 11718 in exponential form is:

11718 = 21 × 33 × 71 × 311

Prime Factorization of 11729

Prime factors of 11729 are 37, 317. Prime factorization of 11729 in exponential form is:

11729 = 371 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 11718 and 11729.

LCM(11718,11729) = 21 × 33 × 71 × 311 × 371 × 3171
LCM(11718,11729) = 137440422