What is the Least Common Multiple of 21276 and 21285?

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 21276 and 21285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21276 and 21285, than apply into the LCM equation.

GCF(21276,21285) = 9
LCM(21276,21285) = ( 21276 × 21285) / 9
LCM(21276,21285) = 452859660 / 9
LCM(21276,21285) = 50317740

Least Common Multiple (LCM) of 21276 and 21285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21276 and 21285. First we will calculate the prime factors of 21276 and 21285.

Prime Factorization of 21276

Prime Factorization of 21285

Now multiplying the highest exponent prime factors to calculate the LCM of 21276 and 21285.

LCM(21276,21285) = 2² × 3³ × 197¹ × 5¹ × 11¹ × 43¹
LCM(21276,21285) = 50317740