What is the Least Common Multiple of 21789 and 21793?

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 21789 and 21793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21789 and 21793, than apply into the LCM equation.

GCF(21789,21793) = 1
LCM(21789,21793) = ( 21789 × 21793) / 1
LCM(21789,21793) = 474847677 / 1
LCM(21789,21793) = 474847677

Least Common Multiple (LCM) of 21789 and 21793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21789 and 21793. First we will calculate the prime factors of 21789 and 21793.

Prime Factorization of 21789

Prime Factorization of 21793

Now multiplying the highest exponent prime factors to calculate the LCM of 21789 and 21793.

LCM(21789,21793) = 3⁴ × 269¹ × 19¹ × 31¹ × 37¹
LCM(21789,21793) = 474847677