What is the Least Common Multiple of 80792 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 80792 and 80807 is 6528559144.
LCM(80792,80807) = 6528559144
Least Common Multiple of 80792 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 80792 and 80807, than apply into the LCM equation.
GCF(80792,80807) = 1
LCM(80792,80807) = ( 80792 × 80807) / 1
LCM(80792,80807) = 6528559144 / 1
LCM(80792,80807) = 6528559144
Least Common Multiple (LCM) of 80792 and 80807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80792 and 80807. First we will calculate the prime factors of 80792 and 80807.
Prime Factorization of 80792
Prime factors of 80792 are 2, 10099. Prime factorization of 80792 in exponential form is:
80792 = 23 × 100991
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 80792 and 80807.
LCM(80792,80807) = 23 × 100991 × 191 × 42531
LCM(80792,80807) = 6528559144
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