What is the Least Common Multiple of 93081 and 93086?
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 93081 and 93086 is 8664537966.
LCM(93081,93086) = 8664537966
Least Common Multiple of 93081 and 93086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93081 and 93086, than apply into the LCM equation.
GCF(93081,93086) = 1
LCM(93081,93086) = ( 93081 × 93086) / 1
LCM(93081,93086) = 8664537966 / 1
LCM(93081,93086) = 8664537966
Least Common Multiple (LCM) of 93081 and 93086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93081 and 93086. First we will calculate the prime factors of 93081 and 93086.
Prime Factorization of 93081
Prime factors of 93081 are 3, 19, 23, 71. Prime factorization of 93081 in exponential form is:
93081 = 31 × 191 × 231 × 711
Prime Factorization of 93086
Prime factors of 93086 are 2, 7, 61, 109. Prime factorization of 93086 in exponential form is:
93086 = 21 × 71 × 611 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 93081 and 93086.
LCM(93081,93086) = 31 × 191 × 231 × 711 × 21 × 71 × 611 × 1091
LCM(93081,93086) = 8664537966
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