What is the Least Common Multiple of 24163 and 24178?
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 24163 and 24178 is 584213014.
LCM(24163,24178) = 584213014
Least Common Multiple of 24163 and 24178 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24163 and 24178, than apply into the LCM equation.
GCF(24163,24178) = 1
LCM(24163,24178) = ( 24163 × 24178) / 1
LCM(24163,24178) = 584213014 / 1
LCM(24163,24178) = 584213014
Least Common Multiple (LCM) of 24163 and 24178 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24163 and 24178. First we will calculate the prime factors of 24163 and 24178.
Prime Factorization of 24163
Prime factors of 24163 are 73, 331. Prime factorization of 24163 in exponential form is:
24163 = 731 × 3311
Prime Factorization of 24178
Prime factors of 24178 are 2, 7, 11, 157. Prime factorization of 24178 in exponential form is:
24178 = 21 × 71 × 111 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 24163 and 24178.
LCM(24163,24178) = 731 × 3311 × 21 × 71 × 111 × 1571
LCM(24163,24178) = 584213014
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