What is the Least Common Multiple of 21336 and 21340?

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 21336 and 21340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21336 and 21340, than apply into the LCM equation.

GCF(21336,21340) = 4
LCM(21336,21340) = ( 21336 × 21340) / 4
LCM(21336,21340) = 455310240 / 4
LCM(21336,21340) = 113827560

Least Common Multiple (LCM) of 21336 and 21340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21336 and 21340. First we will calculate the prime factors of 21336 and 21340.

Prime Factorization of 21336

Prime Factorization of 21340

Now multiplying the highest exponent prime factors to calculate the LCM of 21336 and 21340.

LCM(21336,21340) = 2³ × 3¹ × 7¹ × 127¹ × 5¹ × 11¹ × 97¹
LCM(21336,21340) = 113827560