GCF and LCM Calculator Logo

What is the Least Common Multiple of 80184 and 80199?

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 80199 is 2143558872.

LCM(80184,80199) = 2143558872

LCM Calculator and
and

Least Common Multiple of 80184 and 80199 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 80199, than apply into the LCM equation.

GCF(80184,80199) = 3
LCM(80184,80199) = ( 80184 × 80199) / 3
LCM(80184,80199) = 6430676616 / 3
LCM(80184,80199) = 2143558872

Least Common Multiple (LCM) of 80184 and 80199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80184 and 80199. First we will calculate the prime factors of 80184 and 80199.

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 80199

Prime factors of 80199 are 3, 7, 19, 67. Prime factorization of 80199 in exponential form is:

80199 = 32 × 71 × 191 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 80184 and 80199.

LCM(80184,80199) = 23 × 32 × 131 × 2571 × 71 × 191 × 671
LCM(80184,80199) = 2143558872