What is the Least Common Multiple of 21334 and 21348?

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 21334 and 21348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21334 and 21348, than apply into the LCM equation.

GCF(21334,21348) = 2
LCM(21334,21348) = ( 21334 × 21348) / 2
LCM(21334,21348) = 455438232 / 2
LCM(21334,21348) = 227719116

Least Common Multiple (LCM) of 21334 and 21348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21334 and 21348. First we will calculate the prime factors of 21334 and 21348.

Prime Factorization of 21334

Prime Factorization of 21348

Now multiplying the highest exponent prime factors to calculate the LCM of 21334 and 21348.

LCM(21334,21348) = 2² × 10667¹ × 3² × 593¹
LCM(21334,21348) = 227719116