What is the Least Common Multiple of 88859 and 88866?
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 88859 and 88866 is 7896543894.
LCM(88859,88866) = 7896543894
Least Common Multiple of 88859 and 88866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88859 and 88866, than apply into the LCM equation.
GCF(88859,88866) = 1
LCM(88859,88866) = ( 88859 × 88866) / 1
LCM(88859,88866) = 7896543894 / 1
LCM(88859,88866) = 7896543894
Least Common Multiple (LCM) of 88859 and 88866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88859 and 88866. First we will calculate the prime factors of 88859 and 88866.
Prime Factorization of 88859
Prime factors of 88859 are 17, 5227. Prime factorization of 88859 in exponential form is:
88859 = 171 × 52271
Prime Factorization of 88866
Prime factors of 88866 are 2, 3, 4937. Prime factorization of 88866 in exponential form is:
88866 = 21 × 32 × 49371
Now multiplying the highest exponent prime factors to calculate the LCM of 88859 and 88866.
LCM(88859,88866) = 171 × 52271 × 21 × 32 × 49371
LCM(88859,88866) = 7896543894
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