What is the Least Common Multiple of 288 and 293?
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 288 and 293 is 84384.
LCM(288,293) = 84384
Least Common Multiple of 288 and 293 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 288 and 293, than apply into the LCM equation.
GCF(288,293) = 1
LCM(288,293) = ( 288 × 293) / 1
LCM(288,293) = 84384 / 1
LCM(288,293) = 84384
Least Common Multiple (LCM) of 288 and 293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 288 and 293. First we will calculate the prime factors of 288 and 293.
Prime Factorization of 288
Prime factors of 288 are 2, 3. Prime factorization of 288 in exponential form is:
288 = 25 × 32
Prime Factorization of 293
Prime factors of 293 are 293. Prime factorization of 293 in exponential form is:
293 = 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 288 and 293.
LCM(288,293) = 25 × 32 × 2931
LCM(288,293) = 84384
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