What is the Least Common Multiple of 84681 and 84685?
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 84681 and 84685 is 7171210485.
LCM(84681,84685) = 7171210485
Least Common Multiple of 84681 and 84685 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84681 and 84685, than apply into the LCM equation.
GCF(84681,84685) = 1
LCM(84681,84685) = ( 84681 × 84685) / 1
LCM(84681,84685) = 7171210485 / 1
LCM(84681,84685) = 7171210485
Least Common Multiple (LCM) of 84681 and 84685 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84681 and 84685. First we will calculate the prime factors of 84681 and 84685.
Prime Factorization of 84681
Prime factors of 84681 are 3, 97. Prime factorization of 84681 in exponential form is:
84681 = 32 × 972
Prime Factorization of 84685
Prime factors of 84685 are 5, 16937. Prime factorization of 84685 in exponential form is:
84685 = 51 × 169371
Now multiplying the highest exponent prime factors to calculate the LCM of 84681 and 84685.
LCM(84681,84685) = 32 × 972 × 51 × 169371
LCM(84681,84685) = 7171210485
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