What is the Least Common Multiple of 84181 and 84187?
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 84181 and 84187 is 7086945847.
LCM(84181,84187) = 7086945847
Least Common Multiple of 84181 and 84187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84181 and 84187, than apply into the LCM equation.
GCF(84181,84187) = 1
LCM(84181,84187) = ( 84181 × 84187) / 1
LCM(84181,84187) = 7086945847 / 1
LCM(84181,84187) = 7086945847
Least Common Multiple (LCM) of 84181 and 84187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84181 and 84187. First we will calculate the prime factors of 84181 and 84187.
Prime Factorization of 84181
Prime factors of 84181 are 84181. Prime factorization of 84181 in exponential form is:
84181 = 841811
Prime Factorization of 84187
Prime factors of 84187 are 29, 2903. Prime factorization of 84187 in exponential form is:
84187 = 291 × 29031
Now multiplying the highest exponent prime factors to calculate the LCM of 84181 and 84187.
LCM(84181,84187) = 841811 × 291 × 29031
LCM(84181,84187) = 7086945847
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