What is the Least Common Multiple of 18144 and 18152?
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 18144 and 18152 is 41168736.
LCM(18144,18152) = 41168736
Least Common Multiple of 18144 and 18152 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18144 and 18152, than apply into the LCM equation.
GCF(18144,18152) = 8
LCM(18144,18152) = ( 18144 × 18152) / 8
LCM(18144,18152) = 329349888 / 8
LCM(18144,18152) = 41168736
Least Common Multiple (LCM) of 18144 and 18152 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18144 and 18152. First we will calculate the prime factors of 18144 and 18152.
Prime Factorization of 18144
Prime factors of 18144 are 2, 3, 7. Prime factorization of 18144 in exponential form is:
18144 = 25 × 34 × 71
Prime Factorization of 18152
Prime factors of 18152 are 2, 2269. Prime factorization of 18152 in exponential form is:
18152 = 23 × 22691
Now multiplying the highest exponent prime factors to calculate the LCM of 18144 and 18152.
LCM(18144,18152) = 25 × 34 × 71 × 22691
LCM(18144,18152) = 41168736
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