What is the Least Common Multiple of 80009 and 80029?

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 80009 and 80029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80009 and 80029, than apply into the LCM equation.

GCF(80009,80029) = 1
LCM(80009,80029) = ( 80009 × 80029) / 1
LCM(80009,80029) = 6403040261 / 1
LCM(80009,80029) = 6403040261

Least Common Multiple (LCM) of 80009 and 80029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80009 and 80029. First we will calculate the prime factors of 80009 and 80029.

Prime Factorization of 80009

Prime Factorization of 80029

Now multiplying the highest exponent prime factors to calculate the LCM of 80009 and 80029.

LCM(80009,80029) = 19¹ × 4211¹ × 191¹ × 419¹
LCM(80009,80029) = 6403040261