What is the Least Common Multiple of 34369 and 34373?
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 34369 and 34373 is 1181365637.
LCM(34369,34373) = 1181365637
Least Common Multiple of 34369 and 34373 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34369 and 34373, than apply into the LCM equation.
GCF(34369,34373) = 1
LCM(34369,34373) = ( 34369 × 34373) / 1
LCM(34369,34373) = 1181365637 / 1
LCM(34369,34373) = 1181365637
Least Common Multiple (LCM) of 34369 and 34373 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34369 and 34373. First we will calculate the prime factors of 34369 and 34373.
Prime Factorization of 34369
Prime factors of 34369 are 34369. Prime factorization of 34369 in exponential form is:
34369 = 343691
Prime Factorization of 34373
Prime factors of 34373 are 37, 929. Prime factorization of 34373 in exponential form is:
34373 = 371 × 9291
Now multiplying the highest exponent prime factors to calculate the LCM of 34369 and 34373.
LCM(34369,34373) = 343691 × 371 × 9291
LCM(34369,34373) = 1181365637
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