What is the Least Common Multiple of 80547 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 80547 and 80555 is 6488463585.
LCM(80547,80555) = 6488463585
Least Common Multiple of 80547 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 80547 and 80555, than apply into the LCM equation.
GCF(80547,80555) = 1
LCM(80547,80555) = ( 80547 × 80555) / 1
LCM(80547,80555) = 6488463585 / 1
LCM(80547,80555) = 6488463585
Least Common Multiple (LCM) of 80547 and 80555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80547 and 80555. First we will calculate the prime factors of 80547 and 80555.
Prime Factorization of 80547
Prime factors of 80547 are 3, 26849. Prime factorization of 80547 in exponential form is:
80547 = 31 × 268491
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 80547 and 80555.
LCM(80547,80555) = 31 × 268491 × 51 × 161111
LCM(80547,80555) = 6488463585
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