What is the Least Common Multiple of 80543 and 80555?
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 80543 and 80555 is 6488141365.
LCM(80543,80555) = 6488141365
Least Common Multiple of 80543 and 80555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80543 and 80555, than apply into the LCM equation.
GCF(80543,80555) = 1
LCM(80543,80555) = ( 80543 × 80555) / 1
LCM(80543,80555) = 6488141365 / 1
LCM(80543,80555) = 6488141365
Least Common Multiple (LCM) of 80543 and 80555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80543 and 80555. First we will calculate the prime factors of 80543 and 80555.
Prime Factorization of 80543
Prime factors of 80543 are 239, 337. Prime factorization of 80543 in exponential form is:
80543 = 2391 × 3371
Prime Factorization of 80555
Prime factors of 80555 are 5, 16111. Prime factorization of 80555 in exponential form is:
80555 = 51 × 161111
Now multiplying the highest exponent prime factors to calculate the LCM of 80543 and 80555.
LCM(80543,80555) = 2391 × 3371 × 51 × 161111
LCM(80543,80555) = 6488141365
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