What is the Least Common Multiple of 82020 and 82027?

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 82027 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 82027, than apply into the LCM equation.

GCF(82020,82027) = 1
LCM(82020,82027) = ( 82020 × 82027) / 1
LCM(82020,82027) = 6727854540 / 1
LCM(82020,82027) = 6727854540

Least Common Multiple (LCM) of 82020 and 82027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82020 and 82027. First we will calculate the prime factors of 82020 and 82027.

Prime Factorization of 82020

Prime Factorization of 82027

Now multiplying the highest exponent prime factors to calculate the LCM of 82020 and 82027.

LCM(82020,82027) = 2² × 3¹ × 5¹ × 1367¹ × 11¹ × 7457¹
LCM(82020,82027) = 6727854540