What is the Least Common Multiple of 82020 and 82038?

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 82020 and 82038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82020 and 82038, than apply into the LCM equation.

GCF(82020,82038) = 6
LCM(82020,82038) = ( 82020 × 82038) / 6
LCM(82020,82038) = 6728756760 / 6
LCM(82020,82038) = 1121459460

Least Common Multiple (LCM) of 82020 and 82038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82020 and 82038. First we will calculate the prime factors of 82020 and 82038.

Prime Factorization of 82020

Prime Factorization of 82038

Now multiplying the highest exponent prime factors to calculate the LCM of 82020 and 82038.

LCM(82020,82038) = 2² × 3¹ × 5¹ × 1367¹ × 11² × 113¹
LCM(82020,82038) = 1121459460