What is the Least Common Multiple of 53728 and 53744?

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 53728 and 53744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53728 and 53744, than apply into the LCM equation.

GCF(53728,53744) = 16
LCM(53728,53744) = ( 53728 × 53744) / 16
LCM(53728,53744) = 2887557632 / 16
LCM(53728,53744) = 180472352

Least Common Multiple (LCM) of 53728 and 53744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53728 and 53744. First we will calculate the prime factors of 53728 and 53744.

Prime Factorization of 53728

Prime Factorization of 53744

Now multiplying the highest exponent prime factors to calculate the LCM of 53728 and 53744.

LCM(53728,53744) = 2⁵ × 23¹ × 73¹ × 3359¹
LCM(53728,53744) = 180472352