What is the Least Common Multiple of 84439 and 84446?
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 84439 and 84446 is 7130535794.
LCM(84439,84446) = 7130535794
Least Common Multiple of 84439 and 84446 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84439 and 84446, than apply into the LCM equation.
GCF(84439,84446) = 1
LCM(84439,84446) = ( 84439 × 84446) / 1
LCM(84439,84446) = 7130535794 / 1
LCM(84439,84446) = 7130535794
Least Common Multiple (LCM) of 84439 and 84446 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84439 and 84446. First we will calculate the prime factors of 84439 and 84446.
Prime Factorization of 84439
Prime factors of 84439 are 17, 4967. Prime factorization of 84439 in exponential form is:
84439 = 171 × 49671
Prime Factorization of 84446
Prime factors of 84446 are 2, 42223. Prime factorization of 84446 in exponential form is:
84446 = 21 × 422231
Now multiplying the highest exponent prime factors to calculate the LCM of 84439 and 84446.
LCM(84439,84446) = 171 × 49671 × 21 × 422231
LCM(84439,84446) = 7130535794
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