What is the Least Common Multiple of 28163 and 28168?
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 28163 and 28168 is 793295384.
LCM(28163,28168) = 793295384
Least Common Multiple of 28163 and 28168 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28163 and 28168, than apply into the LCM equation.
GCF(28163,28168) = 1
LCM(28163,28168) = ( 28163 × 28168) / 1
LCM(28163,28168) = 793295384 / 1
LCM(28163,28168) = 793295384
Least Common Multiple (LCM) of 28163 and 28168 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28163 and 28168. First we will calculate the prime factors of 28163 and 28168.
Prime Factorization of 28163
Prime factors of 28163 are 28163. Prime factorization of 28163 in exponential form is:
28163 = 281631
Prime Factorization of 28168
Prime factors of 28168 are 2, 7, 503. Prime factorization of 28168 in exponential form is:
28168 = 23 × 71 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 28163 and 28168.
LCM(28163,28168) = 281631 × 23 × 71 × 5031
LCM(28163,28168) = 793295384
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