What is the Least Common Multiple of 80004 and 80013?

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 of 80004 and 80013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80004 and 80013, than apply into the LCM equation.

GCF(80004,80013) = 3
LCM(80004,80013) = ( 80004 × 80013) / 3
LCM(80004,80013) = 6401360052 / 3
LCM(80004,80013) = 2133786684

Least Common Multiple (LCM) of 80004 and 80013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80004 and 80013. First we will calculate the prime factors of 80004 and 80013.

Prime Factorization of 80004

Prime Factorization of 80013

Now multiplying the highest exponent prime factors to calculate the LCM of 80004 and 80013.

LCM(80004,80013) = 2² × 3¹ × 59¹ × 113¹ × 149¹ × 179¹
LCM(80004,80013) = 2133786684