What is the Least Common Multiple of 21882 and 21897?

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 21882 and 21897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21882 and 21897, than apply into the LCM equation.

GCF(21882,21897) = 3
LCM(21882,21897) = ( 21882 × 21897) / 3
LCM(21882,21897) = 479150154 / 3
LCM(21882,21897) = 159716718

Least Common Multiple (LCM) of 21882 and 21897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21882 and 21897. First we will calculate the prime factors of 21882 and 21897.

Prime Factorization of 21882

Prime Factorization of 21897

Now multiplying the highest exponent prime factors to calculate the LCM of 21882 and 21897.

LCM(21882,21897) = 2¹ × 3³ × 7¹ × 521¹ × 811¹
LCM(21882,21897) = 159716718