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What is the Least Common Multiple of 69267 and 69279?

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 69267 and 69279 is 1599582831.

LCM(69267,69279) = 1599582831

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Least Common Multiple of 69267 and 69279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69267 and 69279, than apply into the LCM equation.

GCF(69267,69279) = 3
LCM(69267,69279) = ( 69267 × 69279) / 3
LCM(69267,69279) = 4798748493 / 3
LCM(69267,69279) = 1599582831

Least Common Multiple (LCM) of 69267 and 69279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69267 and 69279. First we will calculate the prime factors of 69267 and 69279.

Prime Factorization of 69267

Prime factors of 69267 are 3, 11, 2099. Prime factorization of 69267 in exponential form is:

69267 = 31 × 111 × 20991

Prime Factorization of 69279

Prime factors of 69279 are 3, 7, 3299. Prime factorization of 69279 in exponential form is:

69279 = 31 × 71 × 32991

Now multiplying the highest exponent prime factors to calculate the LCM of 69267 and 69279.

LCM(69267,69279) = 31 × 111 × 20991 × 71 × 32991
LCM(69267,69279) = 1599582831