What is the Least Common Multiple of 9081 and 9085?
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 9081 and 9085 is 82500885.
LCM(9081,9085) = 82500885
Least Common Multiple of 9081 and 9085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9081 and 9085, than apply into the LCM equation.
GCF(9081,9085) = 1
LCM(9081,9085) = ( 9081 × 9085) / 1
LCM(9081,9085) = 82500885 / 1
LCM(9081,9085) = 82500885
Least Common Multiple (LCM) of 9081 and 9085 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9081 and 9085. First we will calculate the prime factors of 9081 and 9085.
Prime Factorization of 9081
Prime factors of 9081 are 3, 1009. Prime factorization of 9081 in exponential form is:
9081 = 32 × 10091
Prime Factorization of 9085
Prime factors of 9085 are 5, 23, 79. Prime factorization of 9085 in exponential form is:
9085 = 51 × 231 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 9081 and 9085.
LCM(9081,9085) = 32 × 10091 × 51 × 231 × 791
LCM(9081,9085) = 82500885
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