What is the Least Common Multiple of 66081 and 66086?
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 66081 and 66086 is 4367028966.
LCM(66081,66086) = 4367028966
Least Common Multiple of 66081 and 66086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66081 and 66086, than apply into the LCM equation.
GCF(66081,66086) = 1
LCM(66081,66086) = ( 66081 × 66086) / 1
LCM(66081,66086) = 4367028966 / 1
LCM(66081,66086) = 4367028966
Least Common Multiple (LCM) of 66081 and 66086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66081 and 66086. First we will calculate the prime factors of 66081 and 66086.
Prime Factorization of 66081
Prime factors of 66081 are 3, 22027. Prime factorization of 66081 in exponential form is:
66081 = 31 × 220271
Prime Factorization of 66086
Prime factors of 66086 are 2, 173, 191. Prime factorization of 66086 in exponential form is:
66086 = 21 × 1731 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 66081 and 66086.
LCM(66081,66086) = 31 × 220271 × 21 × 1731 × 1911
LCM(66081,66086) = 4367028966
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