What is the Least Common Multiple of 88955 and 88959?
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 88955 and 88959 is 7913347845.
LCM(88955,88959) = 7913347845
Least Common Multiple of 88955 and 88959 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88955 and 88959, than apply into the LCM equation.
GCF(88955,88959) = 1
LCM(88955,88959) = ( 88955 × 88959) / 1
LCM(88955,88959) = 7913347845 / 1
LCM(88955,88959) = 7913347845
Least Common Multiple (LCM) of 88955 and 88959 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 88955 and 88959. First we will calculate the prime factors of 88955 and 88959.
Prime Factorization of 88955
Prime factors of 88955 are 5, 17791. Prime factorization of 88955 in exponential form is:
88955 = 51 × 177911
Prime Factorization of 88959
Prime factors of 88959 are 3, 13, 2281. Prime factorization of 88959 in exponential form is:
88959 = 31 × 131 × 22811
Now multiplying the highest exponent prime factors to calculate the LCM of 88955 and 88959.
LCM(88955,88959) = 51 × 177911 × 31 × 131 × 22811
LCM(88955,88959) = 7913347845
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