What is the Least Common Multiple of 80818 and 80831?
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 80818 and 80831 is 6532599758.
LCM(80818,80831) = 6532599758
Least Common Multiple of 80818 and 80831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80818 and 80831, than apply into the LCM equation.
GCF(80818,80831) = 1
LCM(80818,80831) = ( 80818 × 80831) / 1
LCM(80818,80831) = 6532599758 / 1
LCM(80818,80831) = 6532599758
Least Common Multiple (LCM) of 80818 and 80831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80818 and 80831. First we will calculate the prime factors of 80818 and 80831.
Prime Factorization of 80818
Prime factors of 80818 are 2, 17, 2377. Prime factorization of 80818 in exponential form is:
80818 = 21 × 171 × 23771
Prime Factorization of 80831
Prime factors of 80831 are 80831. Prime factorization of 80831 in exponential form is:
80831 = 808311
Now multiplying the highest exponent prime factors to calculate the LCM of 80818 and 80831.
LCM(80818,80831) = 21 × 171 × 23771 × 808311
LCM(80818,80831) = 6532599758
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