What is the Least Common Multiple of 24018 and 24027?
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 24018 and 24027 is 192360162.
LCM(24018,24027) = 192360162
Least Common Multiple of 24018 and 24027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24018 and 24027, than apply into the LCM equation.
GCF(24018,24027) = 3
LCM(24018,24027) = ( 24018 × 24027) / 3
LCM(24018,24027) = 577080486 / 3
LCM(24018,24027) = 192360162
Least Common Multiple (LCM) of 24018 and 24027 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24018 and 24027. First we will calculate the prime factors of 24018 and 24027.
Prime Factorization of 24018
Prime factors of 24018 are 2, 3, 4003. Prime factorization of 24018 in exponential form is:
24018 = 21 × 31 × 40031
Prime Factorization of 24027
Prime factors of 24027 are 3, 8009. Prime factorization of 24027 in exponential form is:
24027 = 31 × 80091
Now multiplying the highest exponent prime factors to calculate the LCM of 24018 and 24027.
LCM(24018,24027) = 21 × 31 × 40031 × 80091
LCM(24018,24027) = 192360162
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