What is the Least Common Multiple of 27866 and 27879?
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 27866 and 27879 is 776876214.
LCM(27866,27879) = 776876214
Least Common Multiple of 27866 and 27879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27866 and 27879, than apply into the LCM equation.
GCF(27866,27879) = 1
LCM(27866,27879) = ( 27866 × 27879) / 1
LCM(27866,27879) = 776876214 / 1
LCM(27866,27879) = 776876214
Least Common Multiple (LCM) of 27866 and 27879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27866 and 27879. First we will calculate the prime factors of 27866 and 27879.
Prime Factorization of 27866
Prime factors of 27866 are 2, 13933. Prime factorization of 27866 in exponential form is:
27866 = 21 × 139331
Prime Factorization of 27879
Prime factors of 27879 are 3, 9293. Prime factorization of 27879 in exponential form is:
27879 = 31 × 92931
Now multiplying the highest exponent prime factors to calculate the LCM of 27866 and 27879.
LCM(27866,27879) = 21 × 139331 × 31 × 92931
LCM(27866,27879) = 776876214
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