What is the Least Common Multiple of 84367 and 84385?
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 84367 and 84385 is 7119309295.
LCM(84367,84385) = 7119309295
Least Common Multiple of 84367 and 84385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84367 and 84385, than apply into the LCM equation.
GCF(84367,84385) = 1
LCM(84367,84385) = ( 84367 × 84385) / 1
LCM(84367,84385) = 7119309295 / 1
LCM(84367,84385) = 7119309295
Least Common Multiple (LCM) of 84367 and 84385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84367 and 84385. First we will calculate the prime factors of 84367 and 84385.
Prime Factorization of 84367
Prime factors of 84367 are 239, 353. Prime factorization of 84367 in exponential form is:
84367 = 2391 × 3531
Prime Factorization of 84385
Prime factors of 84385 are 5, 7, 2411. Prime factorization of 84385 in exponential form is:
84385 = 51 × 71 × 24111
Now multiplying the highest exponent prime factors to calculate the LCM of 84367 and 84385.
LCM(84367,84385) = 2391 × 3531 × 51 × 71 × 24111
LCM(84367,84385) = 7119309295
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