What is the Least Common Multiple of 84377 and 84394?
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 84377 and 84394 is 7120912538.
LCM(84377,84394) = 7120912538
Least Common Multiple of 84377 and 84394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84377 and 84394, than apply into the LCM equation.
GCF(84377,84394) = 1
LCM(84377,84394) = ( 84377 × 84394) / 1
LCM(84377,84394) = 7120912538 / 1
LCM(84377,84394) = 7120912538
Least Common Multiple (LCM) of 84377 and 84394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84377 and 84394. First we will calculate the prime factors of 84377 and 84394.
Prime Factorization of 84377
Prime factors of 84377 are 84377. Prime factorization of 84377 in exponential form is:
84377 = 843771
Prime Factorization of 84394
Prime factors of 84394 are 2, 42197. Prime factorization of 84394 in exponential form is:
84394 = 21 × 421971
Now multiplying the highest exponent prime factors to calculate the LCM of 84377 and 84394.
LCM(84377,84394) = 843771 × 21 × 421971
LCM(84377,84394) = 7120912538
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