What is the Least Common Multiple of 80555 and 80566?
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 80555 and 80566 is 6489994130.
LCM(80555,80566) = 6489994130
Least Common Multiple of 80555 and 80566 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80555 and 80566, than apply into the LCM equation.
GCF(80555,80566) = 1
LCM(80555,80566) = ( 80555 × 80566) / 1
LCM(80555,80566) = 6489994130 / 1
LCM(80555,80566) = 6489994130
Least Common Multiple (LCM) of 80555 and 80566 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80555 and 80566. First we will calculate the prime factors of 80555 and 80566.
Prime Factorization of 80555
Prime factors of 80555 are 5, 16111. Prime factorization of 80555 in exponential form is:
80555 = 51 × 161111
Prime Factorization of 80566
Prime factors of 80566 are 2, 40283. Prime factorization of 80566 in exponential form is:
80566 = 21 × 402831
Now multiplying the highest exponent prime factors to calculate the LCM of 80555 and 80566.
LCM(80555,80566) = 51 × 161111 × 21 × 402831
LCM(80555,80566) = 6489994130
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