What is the Least Common Multiple of 21856 and 21874?

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 21856 and 21874 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21856 and 21874, than apply into the LCM equation.

GCF(21856,21874) = 2
LCM(21856,21874) = ( 21856 × 21874) / 2
LCM(21856,21874) = 478078144 / 2
LCM(21856,21874) = 239039072

Least Common Multiple (LCM) of 21856 and 21874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21856 and 21874. First we will calculate the prime factors of 21856 and 21874.

Prime Factorization of 21856

Prime Factorization of 21874

Now multiplying the highest exponent prime factors to calculate the LCM of 21856 and 21874.

LCM(21856,21874) = 2⁵ × 683¹ × 10937¹
LCM(21856,21874) = 239039072