What is the Least Common Multiple of 94889 and 94897?
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 94889 and 94897 is 9004681433.
LCM(94889,94897) = 9004681433
Least Common Multiple of 94889 and 94897 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94889 and 94897, than apply into the LCM equation.
GCF(94889,94897) = 1
LCM(94889,94897) = ( 94889 × 94897) / 1
LCM(94889,94897) = 9004681433 / 1
LCM(94889,94897) = 9004681433
Least Common Multiple (LCM) of 94889 and 94897 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94889 and 94897. First we will calculate the prime factors of 94889 and 94897.
Prime Factorization of 94889
Prime factors of 94889 are 94889. Prime factorization of 94889 in exponential form is:
94889 = 948891
Prime Factorization of 94897
Prime factors of 94897 are 11, 8627. Prime factorization of 94897 in exponential form is:
94897 = 111 × 86271
Now multiplying the highest exponent prime factors to calculate the LCM of 94889 and 94897.
LCM(94889,94897) = 948891 × 111 × 86271
LCM(94889,94897) = 9004681433
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