What is the Least Common Multiple of 16163 and 16181?
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 16163 and 16181 is 261533503.
LCM(16163,16181) = 261533503
Least Common Multiple of 16163 and 16181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16163 and 16181, than apply into the LCM equation.
GCF(16163,16181) = 1
LCM(16163,16181) = ( 16163 × 16181) / 1
LCM(16163,16181) = 261533503 / 1
LCM(16163,16181) = 261533503
Least Common Multiple (LCM) of 16163 and 16181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16163 and 16181. First we will calculate the prime factors of 16163 and 16181.
Prime Factorization of 16163
Prime factors of 16163 are 7, 2309. Prime factorization of 16163 in exponential form is:
16163 = 71 × 23091
Prime Factorization of 16181
Prime factors of 16181 are 11, 1471. Prime factorization of 16181 in exponential form is:
16181 = 111 × 14711
Now multiplying the highest exponent prime factors to calculate the LCM of 16163 and 16181.
LCM(16163,16181) = 71 × 23091 × 111 × 14711
LCM(16163,16181) = 261533503
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