What is the Least Common Multiple of 13792 and 13808?

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 13792 and 13808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13792 and 13808, than apply into the LCM equation.

GCF(13792,13808) = 16
LCM(13792,13808) = ( 13792 × 13808) / 16
LCM(13792,13808) = 190439936 / 16
LCM(13792,13808) = 11902496

Least Common Multiple (LCM) of 13792 and 13808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13792 and 13808. First we will calculate the prime factors of 13792 and 13808.

Prime Factorization of 13792

Prime Factorization of 13808

Now multiplying the highest exponent prime factors to calculate the LCM of 13792 and 13808.

LCM(13792,13808) = 2⁵ × 431¹ × 863¹
LCM(13792,13808) = 11902496