What is the Least Common Multiple of 21336 and 21354?

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 21354 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 21354, than apply into the LCM equation.

GCF(21336,21354) = 6
LCM(21336,21354) = ( 21336 × 21354) / 6
LCM(21336,21354) = 455608944 / 6
LCM(21336,21354) = 75934824

Least Common Multiple (LCM) of 21336 and 21354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21336 and 21354. First we will calculate the prime factors of 21336 and 21354.

Prime Factorization of 21336

Prime Factorization of 21354

Now multiplying the highest exponent prime factors to calculate the LCM of 21336 and 21354.

LCM(21336,21354) = 2³ × 3¹ × 7¹ × 127¹ × 3559¹
LCM(21336,21354) = 75934824