What is the Least Common Multiple of 69288 and 69292?
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 69288 and 69292 is 1200276024.
LCM(69288,69292) = 1200276024
Least Common Multiple of 69288 and 69292 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69288 and 69292, than apply into the LCM equation.
GCF(69288,69292) = 4
LCM(69288,69292) = ( 69288 × 69292) / 4
LCM(69288,69292) = 4801104096 / 4
LCM(69288,69292) = 1200276024
Least Common Multiple (LCM) of 69288 and 69292 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69288 and 69292. First we will calculate the prime factors of 69288 and 69292.
Prime Factorization of 69288
Prime factors of 69288 are 2, 3, 2887. Prime factorization of 69288 in exponential form is:
69288 = 23 × 31 × 28871
Prime Factorization of 69292
Prime factors of 69292 are 2, 17, 1019. Prime factorization of 69292 in exponential form is:
69292 = 22 × 171 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 69288 and 69292.
LCM(69288,69292) = 23 × 31 × 28871 × 171 × 10191
LCM(69288,69292) = 1200276024
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