What is the Least Common Multiple of 80843 and 80855?
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 80843 and 80855 is 6536560765.
LCM(80843,80855) = 6536560765
Least Common Multiple of 80843 and 80855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80843 and 80855, than apply into the LCM equation.
GCF(80843,80855) = 1
LCM(80843,80855) = ( 80843 × 80855) / 1
LCM(80843,80855) = 6536560765 / 1
LCM(80843,80855) = 6536560765
Least Common Multiple (LCM) of 80843 and 80855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80843 and 80855. First we will calculate the prime factors of 80843 and 80855.
Prime Factorization of 80843
Prime factors of 80843 are 7, 11549. Prime factorization of 80843 in exponential form is:
80843 = 71 × 115491
Prime Factorization of 80855
Prime factors of 80855 are 5, 103, 157. Prime factorization of 80855 in exponential form is:
80855 = 51 × 1031 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 80843 and 80855.
LCM(80843,80855) = 71 × 115491 × 51 × 1031 × 1571
LCM(80843,80855) = 6536560765
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