What is the Least Common Multiple of 93293 and 93309?
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 93293 and 93309 is 8705076537.
LCM(93293,93309) = 8705076537
Least Common Multiple of 93293 and 93309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93293 and 93309, than apply into the LCM equation.
GCF(93293,93309) = 1
LCM(93293,93309) = ( 93293 × 93309) / 1
LCM(93293,93309) = 8705076537 / 1
LCM(93293,93309) = 8705076537
Least Common Multiple (LCM) of 93293 and 93309 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93293 and 93309. First we will calculate the prime factors of 93293 and 93309.
Prime Factorization of 93293
Prime factors of 93293 are 29, 3217. Prime factorization of 93293 in exponential form is:
93293 = 291 × 32171
Prime Factorization of 93309
Prime factors of 93309 are 3, 19, 1637. Prime factorization of 93309 in exponential form is:
93309 = 31 × 191 × 16371
Now multiplying the highest exponent prime factors to calculate the LCM of 93293 and 93309.
LCM(93293,93309) = 291 × 32171 × 31 × 191 × 16371
LCM(93293,93309) = 8705076537
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