What is the Least Common Multiple of 5344 and 5358?

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 5344 and 5358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5344 and 5358, than apply into the LCM equation.

GCF(5344,5358) = 2
LCM(5344,5358) = ( 5344 × 5358) / 2
LCM(5344,5358) = 28633152 / 2
LCM(5344,5358) = 14316576

Least Common Multiple (LCM) of 5344 and 5358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5344 and 5358. First we will calculate the prime factors of 5344 and 5358.

Prime Factorization of 5344

Prime Factorization of 5358

Now multiplying the highest exponent prime factors to calculate the LCM of 5344 and 5358.

LCM(5344,5358) = 2⁵ × 167¹ × 3¹ × 19¹ × 47¹
LCM(5344,5358) = 14316576