What is the Least Common Multiple of 84155 and 84161?
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 84155 and 84161 is 7082568955.
LCM(84155,84161) = 7082568955
Least Common Multiple of 84155 and 84161 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84155 and 84161, than apply into the LCM equation.
GCF(84155,84161) = 1
LCM(84155,84161) = ( 84155 × 84161) / 1
LCM(84155,84161) = 7082568955 / 1
LCM(84155,84161) = 7082568955
Least Common Multiple (LCM) of 84155 and 84161 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84155 and 84161. First we will calculate the prime factors of 84155 and 84161.
Prime Factorization of 84155
Prime factors of 84155 are 5, 16831. Prime factorization of 84155 in exponential form is:
84155 = 51 × 168311
Prime Factorization of 84161
Prime factors of 84161 are 7, 11, 1093. Prime factorization of 84161 in exponential form is:
84161 = 71 × 111 × 10931
Now multiplying the highest exponent prime factors to calculate the LCM of 84155 and 84161.
LCM(84155,84161) = 51 × 168311 × 71 × 111 × 10931
LCM(84155,84161) = 7082568955
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