What is the Least Common Multiple of 28420 and 28427?

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 28420 and 28427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28420 and 28427, than apply into the LCM equation.

GCF(28420,28427) = 7
LCM(28420,28427) = ( 28420 × 28427) / 7
LCM(28420,28427) = 807895340 / 7
LCM(28420,28427) = 115413620

Least Common Multiple (LCM) of 28420 and 28427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28420 and 28427. First we will calculate the prime factors of 28420 and 28427.

Prime Factorization of 28420

Prime Factorization of 28427

Now multiplying the highest exponent prime factors to calculate the LCM of 28420 and 28427.

LCM(28420,28427) = 2² × 5¹ × 7² × 29¹ × 31¹ × 131¹
LCM(28420,28427) = 115413620