What is the Least Common Multiple of 84421 and 84426?
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 84421 and 84426 is 7127327346.
LCM(84421,84426) = 7127327346
Least Common Multiple of 84421 and 84426 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84421 and 84426, than apply into the LCM equation.
GCF(84421,84426) = 1
LCM(84421,84426) = ( 84421 × 84426) / 1
LCM(84421,84426) = 7127327346 / 1
LCM(84421,84426) = 7127327346
Least Common Multiple (LCM) of 84421 and 84426 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84421 and 84426. First we will calculate the prime factors of 84421 and 84426.
Prime Factorization of 84421
Prime factors of 84421 are 84421. Prime factorization of 84421 in exponential form is:
84421 = 844211
Prime Factorization of 84426
Prime factors of 84426 are 2, 3, 14071. Prime factorization of 84426 in exponential form is:
84426 = 21 × 31 × 140711
Now multiplying the highest exponent prime factors to calculate the LCM of 84421 and 84426.
LCM(84421,84426) = 844211 × 21 × 31 × 140711
LCM(84421,84426) = 7127327346
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