What is the Least Common Multiple of 93181 and 93193?
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 93181 and 93193 is 8683816933.
LCM(93181,93193) = 8683816933
Least Common Multiple of 93181 and 93193 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93181 and 93193, than apply into the LCM equation.
GCF(93181,93193) = 1
LCM(93181,93193) = ( 93181 × 93193) / 1
LCM(93181,93193) = 8683816933 / 1
LCM(93181,93193) = 8683816933
Least Common Multiple (LCM) of 93181 and 93193 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93181 and 93193. First we will calculate the prime factors of 93181 and 93193.
Prime Factorization of 93181
Prime factors of 93181 are 11, 43, 197. Prime factorization of 93181 in exponential form is:
93181 = 111 × 431 × 1971
Prime Factorization of 93193
Prime factors of 93193 are 41, 2273. Prime factorization of 93193 in exponential form is:
93193 = 411 × 22731
Now multiplying the highest exponent prime factors to calculate the LCM of 93181 and 93193.
LCM(93181,93193) = 111 × 431 × 1971 × 411 × 22731
LCM(93181,93193) = 8683816933
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