What is the Least Common Multiple of 21842 and 21856?

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 21842 and 21856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21842 and 21856, than apply into the LCM equation.

GCF(21842,21856) = 2
LCM(21842,21856) = ( 21842 × 21856) / 2
LCM(21842,21856) = 477378752 / 2
LCM(21842,21856) = 238689376

Least Common Multiple (LCM) of 21842 and 21856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21842 and 21856. First we will calculate the prime factors of 21842 and 21856.

Prime Factorization of 21842

Prime Factorization of 21856

Now multiplying the highest exponent prime factors to calculate the LCM of 21842 and 21856.

LCM(21842,21856) = 2⁵ × 67¹ × 163¹ × 683¹
LCM(21842,21856) = 238689376