What is the Least Common Multiple of 80827 and 80835?
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 80827 and 80835 is 6533650545.
LCM(80827,80835) = 6533650545
Least Common Multiple of 80827 and 80835 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80827 and 80835, than apply into the LCM equation.
GCF(80827,80835) = 1
LCM(80827,80835) = ( 80827 × 80835) / 1
LCM(80827,80835) = 6533650545 / 1
LCM(80827,80835) = 6533650545
Least Common Multiple (LCM) of 80827 and 80835 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80827 and 80835. First we will calculate the prime factors of 80827 and 80835.
Prime Factorization of 80827
Prime factors of 80827 are 131, 617. Prime factorization of 80827 in exponential form is:
80827 = 1311 × 6171
Prime Factorization of 80835
Prime factors of 80835 are 3, 5, 17, 317. Prime factorization of 80835 in exponential form is:
80835 = 31 × 51 × 171 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 80827 and 80835.
LCM(80827,80835) = 1311 × 6171 × 31 × 51 × 171 × 3171
LCM(80827,80835) = 6533650545
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