What is the Least Common Multiple of 34539 and 34543?
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 34539 and 34543 is 1193080677.
LCM(34539,34543) = 1193080677
Least Common Multiple of 34539 and 34543 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34539 and 34543, than apply into the LCM equation.
GCF(34539,34543) = 1
LCM(34539,34543) = ( 34539 × 34543) / 1
LCM(34539,34543) = 1193080677 / 1
LCM(34539,34543) = 1193080677
Least Common Multiple (LCM) of 34539 and 34543 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34539 and 34543. First we will calculate the prime factors of 34539 and 34543.
Prime Factorization of 34539
Prime factors of 34539 are 3, 29, 397. Prime factorization of 34539 in exponential form is:
34539 = 31 × 291 × 3971
Prime Factorization of 34543
Prime factors of 34543 are 34543. Prime factorization of 34543 in exponential form is:
34543 = 345431
Now multiplying the highest exponent prime factors to calculate the LCM of 34539 and 34543.
LCM(34539,34543) = 31 × 291 × 3971 × 345431
LCM(34539,34543) = 1193080677
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