What is the Least Common Multiple of 80879 and 80883?
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 80879 and 80883 is 6541736157.
LCM(80879,80883) = 6541736157
Least Common Multiple of 80879 and 80883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80879 and 80883, than apply into the LCM equation.
GCF(80879,80883) = 1
LCM(80879,80883) = ( 80879 × 80883) / 1
LCM(80879,80883) = 6541736157 / 1
LCM(80879,80883) = 6541736157
Least Common Multiple (LCM) of 80879 and 80883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80879 and 80883. First we will calculate the prime factors of 80879 and 80883.
Prime Factorization of 80879
Prime factors of 80879 are 31, 2609. Prime factorization of 80879 in exponential form is:
80879 = 311 × 26091
Prime Factorization of 80883
Prime factors of 80883 are 3, 11, 19, 43. Prime factorization of 80883 in exponential form is:
80883 = 32 × 111 × 191 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 80879 and 80883.
LCM(80879,80883) = 311 × 26091 × 32 × 111 × 191 × 431
LCM(80879,80883) = 6541736157
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