What is the Least Common Multiple of 93164 and 93181?
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 93164 and 93181 is 8681114684.
LCM(93164,93181) = 8681114684
Least Common Multiple of 93164 and 93181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93164 and 93181, than apply into the LCM equation.
GCF(93164,93181) = 1
LCM(93164,93181) = ( 93164 × 93181) / 1
LCM(93164,93181) = 8681114684 / 1
LCM(93164,93181) = 8681114684
Least Common Multiple (LCM) of 93164 and 93181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93164 and 93181. First we will calculate the prime factors of 93164 and 93181.
Prime Factorization of 93164
Prime factors of 93164 are 2, 23291. Prime factorization of 93164 in exponential form is:
93164 = 22 × 232911
Prime Factorization of 93181
Prime factors of 93181 are 11, 43, 197. Prime factorization of 93181 in exponential form is:
93181 = 111 × 431 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 93164 and 93181.
LCM(93164,93181) = 22 × 232911 × 111 × 431 × 1971
LCM(93164,93181) = 8681114684
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