What is the Least Common Multiple of 53856 and 53872?

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 53856 and 53872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53856 and 53872, than apply into the LCM equation.

GCF(53856,53872) = 16
LCM(53856,53872) = ( 53856 × 53872) / 16
LCM(53856,53872) = 2901330432 / 16
LCM(53856,53872) = 181333152

Least Common Multiple (LCM) of 53856 and 53872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53856 and 53872. First we will calculate the prime factors of 53856 and 53872.

Prime Factorization of 53856

Prime Factorization of 53872

Now multiplying the highest exponent prime factors to calculate the LCM of 53856 and 53872.

LCM(53856,53872) = 2⁵ × 3² × 11¹ × 17¹ × 7¹ × 13¹ × 37¹
LCM(53856,53872) = 181333152