What is the Least Common Multiple of 21398 and 21411?

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 21398 and 21411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21398 and 21411, than apply into the LCM equation.

GCF(21398,21411) = 13
LCM(21398,21411) = ( 21398 × 21411) / 13
LCM(21398,21411) = 458152578 / 13
LCM(21398,21411) = 35242506

Least Common Multiple (LCM) of 21398 and 21411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21398 and 21411. First we will calculate the prime factors of 21398 and 21411.

Prime Factorization of 21398

Prime Factorization of 21411

Now multiplying the highest exponent prime factors to calculate the LCM of 21398 and 21411.

LCM(21398,21411) = 2¹ × 13¹ × 823¹ × 3³ × 61¹
LCM(21398,21411) = 35242506