What is the Least Common Multiple of 21878 and 21896?

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 21878 and 21896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21878 and 21896, than apply into the LCM equation.

GCF(21878,21896) = 2
LCM(21878,21896) = ( 21878 × 21896) / 2
LCM(21878,21896) = 479040688 / 2
LCM(21878,21896) = 239520344

Least Common Multiple (LCM) of 21878 and 21896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21878 and 21896. First we will calculate the prime factors of 21878 and 21896.

Prime Factorization of 21878

Prime Factorization of 21896

Now multiplying the highest exponent prime factors to calculate the LCM of 21878 and 21896.

LCM(21878,21896) = 2³ × 10939¹ × 7¹ × 17¹ × 23¹
LCM(21878,21896) = 239520344