What is the Least Common Multiple of 43161 and 43166?
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 43161 and 43166 is 1863087726.
LCM(43161,43166) = 1863087726
Least Common Multiple of 43161 and 43166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43161 and 43166, than apply into the LCM equation.
GCF(43161,43166) = 1
LCM(43161,43166) = ( 43161 × 43166) / 1
LCM(43161,43166) = 1863087726 / 1
LCM(43161,43166) = 1863087726
Least Common Multiple (LCM) of 43161 and 43166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43161 and 43166. First we will calculate the prime factors of 43161 and 43166.
Prime Factorization of 43161
Prime factors of 43161 are 3, 14387. Prime factorization of 43161 in exponential form is:
43161 = 31 × 143871
Prime Factorization of 43166
Prime factors of 43166 are 2, 113, 191. Prime factorization of 43166 in exponential form is:
43166 = 21 × 1131 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 43161 and 43166.
LCM(43161,43166) = 31 × 143871 × 21 × 1131 × 1911
LCM(43161,43166) = 1863087726
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