What is the Least Common Multiple of 66081 and 66097?
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 66097 is 4367755857.
LCM(66081,66097) = 4367755857
Least Common Multiple of 66081 and 66097 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 66097, than apply into the LCM equation.
GCF(66081,66097) = 1
LCM(66081,66097) = ( 66081 × 66097) / 1
LCM(66081,66097) = 4367755857 / 1
LCM(66081,66097) = 4367755857
Least Common Multiple (LCM) of 66081 and 66097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66081 and 66097. First we will calculate the prime factors of 66081 and 66097.
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 66097
Prime factors of 66097 are 157, 421. Prime factorization of 66097 in exponential form is:
66097 = 1571 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 66081 and 66097.
LCM(66081,66097) = 31 × 220271 × 1571 × 4211
LCM(66081,66097) = 4367755857
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