What is the Least Common Multiple of 23840 and 23856?

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 23840 and 23856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23840 and 23856, than apply into the LCM equation.

GCF(23840,23856) = 16
LCM(23840,23856) = ( 23840 × 23856) / 16
LCM(23840,23856) = 568727040 / 16
LCM(23840,23856) = 35545440

Least Common Multiple (LCM) of 23840 and 23856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23840 and 23856. First we will calculate the prime factors of 23840 and 23856.

Prime Factorization of 23840

Prime Factorization of 23856

Now multiplying the highest exponent prime factors to calculate the LCM of 23840 and 23856.

LCM(23840,23856) = 2⁵ × 5¹ × 149¹ × 3¹ × 7¹ × 71¹
LCM(23840,23856) = 35545440