What is the Least Common Multiple of 92268 and 92281?
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 92268 and 92281 is 8514583308.
LCM(92268,92281) = 8514583308
Least Common Multiple of 92268 and 92281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92268 and 92281, than apply into the LCM equation.
GCF(92268,92281) = 1
LCM(92268,92281) = ( 92268 × 92281) / 1
LCM(92268,92281) = 8514583308 / 1
LCM(92268,92281) = 8514583308
Least Common Multiple (LCM) of 92268 and 92281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92268 and 92281. First we will calculate the prime factors of 92268 and 92281.
Prime Factorization of 92268
Prime factors of 92268 are 2, 3, 11, 233. Prime factorization of 92268 in exponential form is:
92268 = 22 × 32 × 111 × 2331
Prime Factorization of 92281
Prime factors of 92281 are 7, 13183. Prime factorization of 92281 in exponential form is:
92281 = 71 × 131831
Now multiplying the highest exponent prime factors to calculate the LCM of 92268 and 92281.
LCM(92268,92281) = 22 × 32 × 111 × 2331 × 71 × 131831
LCM(92268,92281) = 8514583308
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