What is the Least Common Multiple of 80925 and 80932?

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 80925 and 80932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80925 and 80932, than apply into the LCM equation.

GCF(80925,80932) = 1
LCM(80925,80932) = ( 80925 × 80932) / 1
LCM(80925,80932) = 6549422100 / 1
LCM(80925,80932) = 6549422100

Least Common Multiple (LCM) of 80925 and 80932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80925 and 80932. First we will calculate the prime factors of 80925 and 80932.

Prime Factorization of 80925

Prime Factorization of 80932

Now multiplying the highest exponent prime factors to calculate the LCM of 80925 and 80932.

LCM(80925,80932) = 3¹ × 5² × 13¹ × 83¹ × 2² × 20233¹
LCM(80925,80932) = 6549422100