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What is the Least Common Multiple of 69397 and 69411?

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 69397 and 69411 is 4816915167.

LCM(69397,69411) = 4816915167

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Least Common Multiple of 69397 and 69411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69397 and 69411, than apply into the LCM equation.

GCF(69397,69411) = 1
LCM(69397,69411) = ( 69397 × 69411) / 1
LCM(69397,69411) = 4816915167 / 1
LCM(69397,69411) = 4816915167

Least Common Multiple (LCM) of 69397 and 69411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69397 and 69411. First we will calculate the prime factors of 69397 and 69411.

Prime Factorization of 69397

Prime factors of 69397 are 29, 2393. Prime factorization of 69397 in exponential form is:

69397 = 291 × 23931

Prime Factorization of 69411

Prime factors of 69411 are 3, 17, 1361. Prime factorization of 69411 in exponential form is:

69411 = 31 × 171 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 69397 and 69411.

LCM(69397,69411) = 291 × 23931 × 31 × 171 × 13611
LCM(69397,69411) = 4816915167