What is the Least Common Multiple of 5338 and 5354?

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 5338 and 5354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5338 and 5354, than apply into the LCM equation.

GCF(5338,5354) = 2
LCM(5338,5354) = ( 5338 × 5354) / 2
LCM(5338,5354) = 28579652 / 2
LCM(5338,5354) = 14289826

Least Common Multiple (LCM) of 5338 and 5354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5338 and 5354. First we will calculate the prime factors of 5338 and 5354.

Prime Factorization of 5338

Prime Factorization of 5354

Now multiplying the highest exponent prime factors to calculate the LCM of 5338 and 5354.

LCM(5338,5354) = 2¹ × 17¹ × 157¹ × 2677¹
LCM(5338,5354) = 14289826