What is the Least Common Multiple of 93241 and 93245?
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 93241 and 93245 is 8694257045.
LCM(93241,93245) = 8694257045
Least Common Multiple of 93241 and 93245 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93241 and 93245, than apply into the LCM equation.
GCF(93241,93245) = 1
LCM(93241,93245) = ( 93241 × 93245) / 1
LCM(93241,93245) = 8694257045 / 1
LCM(93241,93245) = 8694257045
Least Common Multiple (LCM) of 93241 and 93245 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93241 and 93245. First we will calculate the prime factors of 93241 and 93245.
Prime Factorization of 93241
Prime factors of 93241 are 93241. Prime factorization of 93241 in exponential form is:
93241 = 932411
Prime Factorization of 93245
Prime factors of 93245 are 5, 17, 1097. Prime factorization of 93245 in exponential form is:
93245 = 51 × 171 × 10971
Now multiplying the highest exponent prime factors to calculate the LCM of 93241 and 93245.
LCM(93241,93245) = 932411 × 51 × 171 × 10971
LCM(93241,93245) = 8694257045
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