What is the Least Common Multiple of 80083 and 80093?

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 80083 and 80093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80083 and 80093, than apply into the LCM equation.

GCF(80083,80093) = 1
LCM(80083,80093) = ( 80083 × 80093) / 1
LCM(80083,80093) = 6414087719 / 1
LCM(80083,80093) = 6414087719

Least Common Multiple (LCM) of 80083 and 80093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80083 and 80093. First we will calculate the prime factors of 80083 and 80093.

Prime Factorization of 80083

Prime Factorization of 80093

Now multiplying the highest exponent prime factors to calculate the LCM of 80083 and 80093.

LCM(80083,80093) = 53¹ × 1511¹ × 13¹ × 61¹ × 101¹
LCM(80083,80093) = 6414087719