What is the Least Common Multiple of 5328 and 5346?

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 5328 and 5346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5328 and 5346, than apply into the LCM equation.

GCF(5328,5346) = 18
LCM(5328,5346) = ( 5328 × 5346) / 18
LCM(5328,5346) = 28483488 / 18
LCM(5328,5346) = 1582416

Least Common Multiple (LCM) of 5328 and 5346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5328 and 5346. First we will calculate the prime factors of 5328 and 5346.

Prime Factorization of 5328

Prime Factorization of 5346

Now multiplying the highest exponent prime factors to calculate the LCM of 5328 and 5346.

LCM(5328,5346) = 2⁴ × 3⁵ × 37¹ × 11¹
LCM(5328,5346) = 1582416