What is the Least Common Multiple of 93455 and 93459?
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 93455 and 93459 is 8734210845.
LCM(93455,93459) = 8734210845
Least Common Multiple of 93455 and 93459 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93455 and 93459, than apply into the LCM equation.
GCF(93455,93459) = 1
LCM(93455,93459) = ( 93455 × 93459) / 1
LCM(93455,93459) = 8734210845 / 1
LCM(93455,93459) = 8734210845
Least Common Multiple (LCM) of 93455 and 93459 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93455 and 93459. First we will calculate the prime factors of 93455 and 93459.
Prime Factorization of 93455
Prime factors of 93455 are 5, 18691. Prime factorization of 93455 in exponential form is:
93455 = 51 × 186911
Prime Factorization of 93459
Prime factors of 93459 are 3, 31153. Prime factorization of 93459 in exponential form is:
93459 = 31 × 311531
Now multiplying the highest exponent prime factors to calculate the LCM of 93455 and 93459.
LCM(93455,93459) = 51 × 186911 × 31 × 311531
LCM(93455,93459) = 8734210845
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