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What is the Least Common Multiple of 34337 and 34351?

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 34337 and 34351 is 1179510287.

LCM(34337,34351) = 1179510287

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Least Common Multiple of 34337 and 34351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34337 and 34351, than apply into the LCM equation.

GCF(34337,34351) = 1
LCM(34337,34351) = ( 34337 × 34351) / 1
LCM(34337,34351) = 1179510287 / 1
LCM(34337,34351) = 1179510287

Least Common Multiple (LCM) of 34337 and 34351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34337 and 34351. First we will calculate the prime factors of 34337 and 34351.

Prime Factorization of 34337

Prime factors of 34337 are 34337. Prime factorization of 34337 in exponential form is:

34337 = 343371

Prime Factorization of 34351

Prime factors of 34351 are 34351. Prime factorization of 34351 in exponential form is:

34351 = 343511

Now multiplying the highest exponent prime factors to calculate the LCM of 34337 and 34351.

LCM(34337,34351) = 343371 × 343511
LCM(34337,34351) = 1179510287