What is the Least Common Multiple of 80797 and 80807?
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 80797 and 80807 is 6528963179.
LCM(80797,80807) = 6528963179
Least Common Multiple of 80797 and 80807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80797 and 80807, than apply into the LCM equation.
GCF(80797,80807) = 1
LCM(80797,80807) = ( 80797 × 80807) / 1
LCM(80797,80807) = 6528963179 / 1
LCM(80797,80807) = 6528963179
Least Common Multiple (LCM) of 80797 and 80807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80797 and 80807. First we will calculate the prime factors of 80797 and 80807.
Prime Factorization of 80797
Prime factors of 80797 are 43, 1879. Prime factorization of 80797 in exponential form is:
80797 = 431 × 18791
Prime Factorization of 80807
Prime factors of 80807 are 19, 4253. Prime factorization of 80807 in exponential form is:
80807 = 191 × 42531
Now multiplying the highest exponent prime factors to calculate the LCM of 80797 and 80807.
LCM(80797,80807) = 431 × 18791 × 191 × 42531
LCM(80797,80807) = 6528963179
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