What is the Least Common Multiple of 88852 and 88859?
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 88852 and 88859 is 7895299868.
LCM(88852,88859) = 7895299868
Least Common Multiple of 88852 and 88859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88852 and 88859, than apply into the LCM equation.
GCF(88852,88859) = 1
LCM(88852,88859) = ( 88852 × 88859) / 1
LCM(88852,88859) = 7895299868 / 1
LCM(88852,88859) = 7895299868
Least Common Multiple (LCM) of 88852 and 88859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88852 and 88859. First we will calculate the prime factors of 88852 and 88859.
Prime Factorization of 88852
Prime factors of 88852 are 2, 97, 229. Prime factorization of 88852 in exponential form is:
88852 = 22 × 971 × 2291
Prime Factorization of 88859
Prime factors of 88859 are 17, 5227. Prime factorization of 88859 in exponential form is:
88859 = 171 × 52271
Now multiplying the highest exponent prime factors to calculate the LCM of 88852 and 88859.
LCM(88852,88859) = 22 × 971 × 2291 × 171 × 52271
LCM(88852,88859) = 7895299868
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