What is the Least Common Multiple of 88857 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 88857 and 88866 is 877374018.
LCM(88857,88866) = 877374018
Least Common Multiple of 88857 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 88857 and 88866, than apply into the LCM equation.
GCF(88857,88866) = 9
LCM(88857,88866) = ( 88857 × 88866) / 9
LCM(88857,88866) = 7896366162 / 9
LCM(88857,88866) = 877374018
Least Common Multiple (LCM) of 88857 and 88866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88857 and 88866. First we will calculate the prime factors of 88857 and 88866.
Prime Factorization of 88857
Prime factors of 88857 are 3, 1097. Prime factorization of 88857 in exponential form is:
88857 = 34 × 10971
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 88857 and 88866.
LCM(88857,88866) = 34 × 10971 × 21 × 49371
LCM(88857,88866) = 877374018
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