What is the Least Common Multiple of 80000 and 80014?

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 80000 and 80014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80000 and 80014, than apply into the LCM equation.

GCF(80000,80014) = 2
LCM(80000,80014) = ( 80000 × 80014) / 2
LCM(80000,80014) = 6401120000 / 2
LCM(80000,80014) = 3200560000

Least Common Multiple (LCM) of 80000 and 80014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80000 and 80014. First we will calculate the prime factors of 80000 and 80014.

Prime Factorization of 80000

Prime Factorization of 80014

Now multiplying the highest exponent prime factors to calculate the LCM of 80000 and 80014.

LCM(80000,80014) = 2⁷ × 5⁴ × 11¹ × 3637¹
LCM(80000,80014) = 3200560000