What is the Least Common Multiple of 84349 and 84369?
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 84349 and 84369 is 7116440781.
LCM(84349,84369) = 7116440781
Least Common Multiple of 84349 and 84369 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84349 and 84369, than apply into the LCM equation.
GCF(84349,84369) = 1
LCM(84349,84369) = ( 84349 × 84369) / 1
LCM(84349,84369) = 7116440781 / 1
LCM(84349,84369) = 7116440781
Least Common Multiple (LCM) of 84349 and 84369 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84349 and 84369. First we will calculate the prime factors of 84349 and 84369.
Prime Factorization of 84349
Prime factors of 84349 are 84349. Prime factorization of 84349 in exponential form is:
84349 = 843491
Prime Factorization of 84369
Prime factors of 84369 are 3, 28123. Prime factorization of 84369 in exponential form is:
84369 = 31 × 281231
Now multiplying the highest exponent prime factors to calculate the LCM of 84349 and 84369.
LCM(84349,84369) = 843491 × 31 × 281231
LCM(84349,84369) = 7116440781
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