What is the Least Common Multiple of 21420 and 21427?

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 21420 and 21427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21420 and 21427, than apply into the LCM equation.

GCF(21420,21427) = 7
LCM(21420,21427) = ( 21420 × 21427) / 7
LCM(21420,21427) = 458966340 / 7
LCM(21420,21427) = 65566620

Least Common Multiple (LCM) of 21420 and 21427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21420 and 21427. First we will calculate the prime factors of 21420 and 21427.

Prime Factorization of 21420

Prime Factorization of 21427

Now multiplying the highest exponent prime factors to calculate the LCM of 21420 and 21427.

LCM(21420,21427) = 2² × 3² × 5¹ × 7¹ × 17¹ × 3061¹
LCM(21420,21427) = 65566620