What is the Least Common Multiple of 80022 and 80041?
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 80022 and 80041 is 6405040902.
LCM(80022,80041) = 6405040902
Least Common Multiple of 80022 and 80041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80022 and 80041, than apply into the LCM equation.
GCF(80022,80041) = 1
LCM(80022,80041) = ( 80022 × 80041) / 1
LCM(80022,80041) = 6405040902 / 1
LCM(80022,80041) = 6405040902
Least Common Multiple (LCM) of 80022 and 80041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80022 and 80041. First we will calculate the prime factors of 80022 and 80041.
Prime Factorization of 80022
Prime factors of 80022 are 2, 3, 13337. Prime factorization of 80022 in exponential form is:
80022 = 21 × 31 × 133371
Prime Factorization of 80041
Prime factors of 80041 are 13, 47, 131. Prime factorization of 80041 in exponential form is:
80041 = 131 × 471 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 80022 and 80041.
LCM(80022,80041) = 21 × 31 × 133371 × 131 × 471 × 1311
LCM(80022,80041) = 6405040902
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