What is the Least Common Multiple of 5344 and 5349?

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 5349 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 5349, than apply into the LCM equation.

GCF(5344,5349) = 1
LCM(5344,5349) = ( 5344 × 5349) / 1
LCM(5344,5349) = 28585056 / 1
LCM(5344,5349) = 28585056

Least Common Multiple (LCM) of 5344 and 5349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5344 and 5349. First we will calculate the prime factors of 5344 and 5349.

Prime Factorization of 5344

Prime Factorization of 5349

Now multiplying the highest exponent prime factors to calculate the LCM of 5344 and 5349.

LCM(5344,5349) = 2⁵ × 167¹ × 3¹ × 1783¹
LCM(5344,5349) = 28585056