What is the Least Common Multiple of 18496 and 18512?

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 18496 and 18512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18496 and 18512, than apply into the LCM equation.

GCF(18496,18512) = 16
LCM(18496,18512) = ( 18496 × 18512) / 16
LCM(18496,18512) = 342397952 / 16
LCM(18496,18512) = 21399872

Least Common Multiple (LCM) of 18496 and 18512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18496 and 18512. First we will calculate the prime factors of 18496 and 18512.

Prime Factorization of 18496

Prime Factorization of 18512

Now multiplying the highest exponent prime factors to calculate the LCM of 18496 and 18512.

LCM(18496,18512) = 2⁶ × 17² × 13¹ × 89¹
LCM(18496,18512) = 21399872