What is the Least Common Multiple of 80121 and 80133?

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 80121 and 80133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80121 and 80133, than apply into the LCM equation.

GCF(80121,80133) = 3
LCM(80121,80133) = ( 80121 × 80133) / 3
LCM(80121,80133) = 6420336093 / 3
LCM(80121,80133) = 2140112031

Least Common Multiple (LCM) of 80121 and 80133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80121 and 80133. First we will calculate the prime factors of 80121 and 80133.

Prime Factorization of 80121

Prime Factorization of 80133

Now multiplying the highest exponent prime factors to calculate the LCM of 80121 and 80133.

LCM(80121,80133) = 3¹ × 17¹ × 1571¹ × 26711¹
LCM(80121,80133) = 2140112031