What is the Least Common Multiple of 5140 and 5146?

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 5140 and 5146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5140 and 5146, than apply into the LCM equation.

GCF(5140,5146) = 2
LCM(5140,5146) = ( 5140 × 5146) / 2
LCM(5140,5146) = 26450440 / 2
LCM(5140,5146) = 13225220

Least Common Multiple (LCM) of 5140 and 5146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5140 and 5146. First we will calculate the prime factors of 5140 and 5146.

Prime Factorization of 5140

Prime Factorization of 5146

Now multiplying the highest exponent prime factors to calculate the LCM of 5140 and 5146.

LCM(5140,5146) = 2² × 5¹ × 257¹ × 31¹ × 83¹
LCM(5140,5146) = 13225220