What is the Least Common Multiple of 84017 and 84026?
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 84017 and 84026 is 7059612442.
LCM(84017,84026) = 7059612442
Least Common Multiple of 84017 and 84026 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84017 and 84026, than apply into the LCM equation.
GCF(84017,84026) = 1
LCM(84017,84026) = ( 84017 × 84026) / 1
LCM(84017,84026) = 7059612442 / 1
LCM(84017,84026) = 7059612442
Least Common Multiple (LCM) of 84017 and 84026 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84017 and 84026. First we will calculate the prime factors of 84017 and 84026.
Prime Factorization of 84017
Prime factors of 84017 are 84017. Prime factorization of 84017 in exponential form is:
84017 = 840171
Prime Factorization of 84026
Prime factors of 84026 are 2, 42013. Prime factorization of 84026 in exponential form is:
84026 = 21 × 420131
Now multiplying the highest exponent prime factors to calculate the LCM of 84017 and 84026.
LCM(84017,84026) = 840171 × 21 × 420131
LCM(84017,84026) = 7059612442
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