What is the Least Common Multiple of 80055 and 80075?

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 80055 and 80075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80055 and 80075, than apply into the LCM equation.

GCF(80055,80075) = 5
LCM(80055,80075) = ( 80055 × 80075) / 5
LCM(80055,80075) = 6410404125 / 5
LCM(80055,80075) = 1282080825

Least Common Multiple (LCM) of 80055 and 80075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80055 and 80075. First we will calculate the prime factors of 80055 and 80075.

Prime Factorization of 80055

Prime Factorization of 80075

Now multiplying the highest exponent prime factors to calculate the LCM of 80055 and 80075.

LCM(80055,80075) = 3³ × 5² × 593¹ × 3203¹
LCM(80055,80075) = 1282080825