What is the Least Common Multiple of 92878 and 92891?
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 92878 and 92891 is 8627530298.
LCM(92878,92891) = 8627530298
Least Common Multiple of 92878 and 92891 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92878 and 92891, than apply into the LCM equation.
GCF(92878,92891) = 1
LCM(92878,92891) = ( 92878 × 92891) / 1
LCM(92878,92891) = 8627530298 / 1
LCM(92878,92891) = 8627530298
Least Common Multiple (LCM) of 92878 and 92891 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92878 and 92891. First we will calculate the prime factors of 92878 and 92891.
Prime Factorization of 92878
Prime factors of 92878 are 2, 46439. Prime factorization of 92878 in exponential form is:
92878 = 21 × 464391
Prime Factorization of 92891
Prime factors of 92891 are 19, 4889. Prime factorization of 92891 in exponential form is:
92891 = 191 × 48891
Now multiplying the highest exponent prime factors to calculate the LCM of 92878 and 92891.
LCM(92878,92891) = 21 × 464391 × 191 × 48891
LCM(92878,92891) = 8627530298
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