What is the Least Common Multiple of 80857 and 80862?
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 80857 and 80862 is 6538258734.
LCM(80857,80862) = 6538258734
Least Common Multiple of 80857 and 80862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80857 and 80862, than apply into the LCM equation.
GCF(80857,80862) = 1
LCM(80857,80862) = ( 80857 × 80862) / 1
LCM(80857,80862) = 6538258734 / 1
LCM(80857,80862) = 6538258734
Least Common Multiple (LCM) of 80857 and 80862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80857 and 80862. First we will calculate the prime factors of 80857 and 80862.
Prime Factorization of 80857
Prime factors of 80857 are 7, 11551. Prime factorization of 80857 in exponential form is:
80857 = 71 × 115511
Prime Factorization of 80862
Prime factors of 80862 are 2, 3, 13477. Prime factorization of 80862 in exponential form is:
80862 = 21 × 31 × 134771
Now multiplying the highest exponent prime factors to calculate the LCM of 80857 and 80862.
LCM(80857,80862) = 71 × 115511 × 21 × 31 × 134771
LCM(80857,80862) = 6538258734
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