What is the Least Common Multiple of 80463 and 80479?
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 80463 and 80479 is 6475581777.
LCM(80463,80479) = 6475581777
Least Common Multiple of 80463 and 80479 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80463 and 80479, than apply into the LCM equation.
GCF(80463,80479) = 1
LCM(80463,80479) = ( 80463 × 80479) / 1
LCM(80463,80479) = 6475581777 / 1
LCM(80463,80479) = 6475581777
Least Common Multiple (LCM) of 80463 and 80479 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80463 and 80479. First we will calculate the prime factors of 80463 and 80479.
Prime Factorization of 80463
Prime factors of 80463 are 3, 26821. Prime factorization of 80463 in exponential form is:
80463 = 31 × 268211
Prime Factorization of 80479
Prime factors of 80479 are 7, 11497. Prime factorization of 80479 in exponential form is:
80479 = 71 × 114971
Now multiplying the highest exponent prime factors to calculate the LCM of 80463 and 80479.
LCM(80463,80479) = 31 × 268211 × 71 × 114971
LCM(80463,80479) = 6475581777
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