What is the Least Common Multiple of 53838 and 53856?

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 53838 and 53856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53838 and 53856, than apply into the LCM equation.

GCF(53838,53856) = 18
LCM(53838,53856) = ( 53838 × 53856) / 18
LCM(53838,53856) = 2899499328 / 18
LCM(53838,53856) = 161083296

Least Common Multiple (LCM) of 53838 and 53856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53838 and 53856. First we will calculate the prime factors of 53838 and 53856.

Prime Factorization of 53838

Prime Factorization of 53856

Now multiplying the highest exponent prime factors to calculate the LCM of 53838 and 53856.

LCM(53838,53856) = 2⁵ × 3³ × 997¹ × 11¹ × 17¹
LCM(53838,53856) = 161083296