GCF and LCM Calculator Logo

What is the Least Common Multiple of 80015 and 80019?

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 80015 and 80019 is 6402720285.

LCM(80015,80019) = 6402720285

LCM Calculator and
and

Least Common Multiple of 80015 and 80019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80015 and 80019, than apply into the LCM equation.

GCF(80015,80019) = 1
LCM(80015,80019) = ( 80015 × 80019) / 1
LCM(80015,80019) = 6402720285 / 1
LCM(80015,80019) = 6402720285

Least Common Multiple (LCM) of 80015 and 80019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80015 and 80019. First we will calculate the prime factors of 80015 and 80019.

Prime Factorization of 80015

Prime factors of 80015 are 5, 13, 1231. Prime factorization of 80015 in exponential form is:

80015 = 51 × 131 × 12311

Prime Factorization of 80019

Prime factors of 80019 are 3, 17, 523. Prime factorization of 80019 in exponential form is:

80019 = 32 × 171 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 80015 and 80019.

LCM(80015,80019) = 51 × 131 × 12311 × 32 × 171 × 5231
LCM(80015,80019) = 6402720285