What is the Least Common Multiple of 80184 and 80203?
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 80184 and 80203 is 6430997352.
LCM(80184,80203) = 6430997352
Least Common Multiple of 80184 and 80203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80184 and 80203, than apply into the LCM equation.
GCF(80184,80203) = 1
LCM(80184,80203) = ( 80184 × 80203) / 1
LCM(80184,80203) = 6430997352 / 1
LCM(80184,80203) = 6430997352
Least Common Multiple (LCM) of 80184 and 80203 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80184 and 80203. First we will calculate the prime factors of 80184 and 80203.
Prime Factorization of 80184
Prime factors of 80184 are 2, 3, 13, 257. Prime factorization of 80184 in exponential form is:
80184 = 23 × 31 × 131 × 2571
Prime Factorization of 80203
Prime factors of 80203 are 139, 577. Prime factorization of 80203 in exponential form is:
80203 = 1391 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 80184 and 80203.
LCM(80184,80203) = 23 × 31 × 131 × 2571 × 1391 × 5771
LCM(80184,80203) = 6430997352
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