What is the Least Common Multiple of 5140 and 5144?

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 5144 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 5144, than apply into the LCM equation.

GCF(5140,5144) = 4
LCM(5140,5144) = ( 5140 × 5144) / 4
LCM(5140,5144) = 26440160 / 4
LCM(5140,5144) = 6610040

Least Common Multiple (LCM) of 5140 and 5144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5140 and 5144. First we will calculate the prime factors of 5140 and 5144.

Prime Factorization of 5140

Prime Factorization of 5144

Now multiplying the highest exponent prime factors to calculate the LCM of 5140 and 5144.

LCM(5140,5144) = 2³ × 5¹ × 257¹ × 643¹
LCM(5140,5144) = 6610040