What is the Least Common Multiple of 80055 and 80071?

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 80071 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 80071, than apply into the LCM equation.

GCF(80055,80071) = 1
LCM(80055,80071) = ( 80055 × 80071) / 1
LCM(80055,80071) = 6410083905 / 1
LCM(80055,80071) = 6410083905

Least Common Multiple (LCM) of 80055 and 80071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80055 and 80071. First we will calculate the prime factors of 80055 and 80071.

Prime Factorization of 80055

Prime Factorization of 80071

Now multiplying the highest exponent prime factors to calculate the LCM of 80055 and 80071.

LCM(80055,80071) = 3³ × 5¹ × 593¹ × 80071¹
LCM(80055,80071) = 6410083905