What is the Least Common Multiple of 84416 and 84423?
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 84416 and 84423 is 7126651968.
LCM(84416,84423) = 7126651968
Least Common Multiple of 84416 and 84423 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84416 and 84423, than apply into the LCM equation.
GCF(84416,84423) = 1
LCM(84416,84423) = ( 84416 × 84423) / 1
LCM(84416,84423) = 7126651968 / 1
LCM(84416,84423) = 7126651968
Least Common Multiple (LCM) of 84416 and 84423 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84416 and 84423. First we will calculate the prime factors of 84416 and 84423.
Prime Factorization of 84416
Prime factors of 84416 are 2, 1319. Prime factorization of 84416 in exponential form is:
84416 = 26 × 13191
Prime Factorization of 84423
Prime factors of 84423 are 3, 107, 263. Prime factorization of 84423 in exponential form is:
84423 = 31 × 1071 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 84416 and 84423.
LCM(84416,84423) = 26 × 13191 × 31 × 1071 × 2631
LCM(84416,84423) = 7126651968
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