What is the Least Common Multiple of 21384 and 21403?

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 21384 and 21403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21384 and 21403, than apply into the LCM equation.

GCF(21384,21403) = 1
LCM(21384,21403) = ( 21384 × 21403) / 1
LCM(21384,21403) = 457681752 / 1
LCM(21384,21403) = 457681752

Least Common Multiple (LCM) of 21384 and 21403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21384 and 21403. First we will calculate the prime factors of 21384 and 21403.

Prime Factorization of 21384

Prime Factorization of 21403

Now multiplying the highest exponent prime factors to calculate the LCM of 21384 and 21403.

LCM(21384,21403) = 2³ × 3⁵ × 11¹ × 17¹ × 1259¹
LCM(21384,21403) = 457681752