What is the Least Common Multiple of 84161 and 84171?
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 84161 and 84171 is 7083915531.
LCM(84161,84171) = 7083915531
Least Common Multiple of 84161 and 84171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84161 and 84171, than apply into the LCM equation.
GCF(84161,84171) = 1
LCM(84161,84171) = ( 84161 × 84171) / 1
LCM(84161,84171) = 7083915531 / 1
LCM(84161,84171) = 7083915531
Least Common Multiple (LCM) of 84161 and 84171 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84161 and 84171. First we will calculate the prime factors of 84161 and 84171.
Prime Factorization of 84161
Prime factors of 84161 are 7, 11, 1093. Prime factorization of 84161 in exponential form is:
84161 = 71 × 111 × 10931
Prime Factorization of 84171
Prime factors of 84171 are 3, 28057. Prime factorization of 84171 in exponential form is:
84171 = 31 × 280571
Now multiplying the highest exponent prime factors to calculate the LCM of 84161 and 84171.
LCM(84161,84171) = 71 × 111 × 10931 × 31 × 280571
LCM(84161,84171) = 7083915531
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