What is the Least Common Multiple of 90887 and 90891?
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 90887 and 90891 is 8260810317.
LCM(90887,90891) = 8260810317
Least Common Multiple of 90887 and 90891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90887 and 90891, than apply into the LCM equation.
GCF(90887,90891) = 1
LCM(90887,90891) = ( 90887 × 90891) / 1
LCM(90887,90891) = 8260810317 / 1
LCM(90887,90891) = 8260810317
Least Common Multiple (LCM) of 90887 and 90891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 90887 and 90891. First we will calculate the prime factors of 90887 and 90891.
Prime Factorization of 90887
Prime factors of 90887 are 90887. Prime factorization of 90887 in exponential form is:
90887 = 908871
Prime Factorization of 90891
Prime factors of 90891 are 3, 10099. Prime factorization of 90891 in exponential form is:
90891 = 32 × 100991
Now multiplying the highest exponent prime factors to calculate the LCM of 90887 and 90891.
LCM(90887,90891) = 908871 × 32 × 100991
LCM(90887,90891) = 8260810317
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