What is the Least Common Multiple of 80054 and 80072?

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 80054 and 80072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80054 and 80072, than apply into the LCM equation.

GCF(80054,80072) = 2
LCM(80054,80072) = ( 80054 × 80072) / 2
LCM(80054,80072) = 6410083888 / 2
LCM(80054,80072) = 3205041944

Least Common Multiple (LCM) of 80054 and 80072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80054 and 80072. First we will calculate the prime factors of 80054 and 80072.

Prime Factorization of 80054

Prime Factorization of 80072

Now multiplying the highest exponent prime factors to calculate the LCM of 80054 and 80072.

LCM(80054,80072) = 2³ × 13¹ × 3079¹ × 10009¹
LCM(80054,80072) = 3205041944