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What is the Least Common Multiple of 34367 and 34379?

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 34367 and 34379 is 1181503093.

LCM(34367,34379) = 1181503093

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Least Common Multiple of 34367 and 34379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34367 and 34379, than apply into the LCM equation.

GCF(34367,34379) = 1
LCM(34367,34379) = ( 34367 × 34379) / 1
LCM(34367,34379) = 1181503093 / 1
LCM(34367,34379) = 1181503093

Least Common Multiple (LCM) of 34367 and 34379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34367 and 34379. First we will calculate the prime factors of 34367 and 34379.

Prime Factorization of 34367

Prime factors of 34367 are 34367. Prime factorization of 34367 in exponential form is:

34367 = 343671

Prime Factorization of 34379

Prime factors of 34379 are 31, 1109. Prime factorization of 34379 in exponential form is:

34379 = 311 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 34367 and 34379.

LCM(34367,34379) = 343671 × 311 × 11091
LCM(34367,34379) = 1181503093