What is the Least Common Multiple of 21385 and 21389?

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 21385 and 21389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21385 and 21389, than apply into the LCM equation.

GCF(21385,21389) = 1
LCM(21385,21389) = ( 21385 × 21389) / 1
LCM(21385,21389) = 457403765 / 1
LCM(21385,21389) = 457403765

Least Common Multiple (LCM) of 21385 and 21389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21385 and 21389. First we will calculate the prime factors of 21385 and 21389.

Prime Factorization of 21385

Prime Factorization of 21389

Now multiplying the highest exponent prime factors to calculate the LCM of 21385 and 21389.

LCM(21385,21389) = 5¹ × 7¹ × 13¹ × 47¹ × 73¹ × 293¹
LCM(21385,21389) = 457403765