Least Common Multiple of 5140 and 5144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5140 and 5144 the smallest integer that is 6610040 that is divisible by both numbers.

Least Common Multiple (LCM) of 5140 and 5144 is 6610040.

LCM(5140,5144) = 6610040

LCM of 5140 and 5144

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5140 and 5144

LCM of 5140 and 5144 is 6610040

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


2 5140
2 2570
5 1285
257 257
1

Prime factors of 5140 are 2, 5,257. Prime factorization of 5140 in exponential form is:

5140 = 22×51×2571

Prime Factorization of 5144


2 5144
2 2572
2 1286
643 643
1

Prime factors of 5144 are 2,643. Prime factorization of 5144 in exponential form is:

5144 = 23×6431

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

Factors of 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140

Factors of 5144

List of positive integer factors of 5144 that divides 5144 without a remainder.

1, 2, 4, 8, 643, 1286, 2572, 5144

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

Properties of LCM 5140 and 5144

(i) The LCM of 5144 and 5140 is associative

LCM of 5140 and 5144 = LCM of 5144 and 5140

Related Least Common Multiples of 5140

Related Least Common Multiples of 5144

Frequently Asked Questions on LCM of 5140 and 5144

1. What is the LCM of 5140 and 5144?

Answer: LCM of 5140 and 5144 is 6610040.

2. What are the Factors of 5140?

Answer: Factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140. There are 12 integers that are factors of 5140. The greatest factor of 5140 is 5140.

3. What are the Factors of 5144?

Answer: Factors of 5144 are 1, 2, 4, 8, 643, 1286, 2572, 5144. There are 8 integers that are factors of 5144. The greatest factor of 5144 is 5144.

4. How to Find the LCM of 5140 and 5144?

Answer:

Least Common Multiple of 5140 and 5144 = 6610040

Step 1: Find the prime factorization of 5140

5140 = 2 x 2 x 5 x 257

Step 2: Find the prime factorization of 5144

5144 = 2 x 2 x 2 x 643

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6610040 = 2 x 2 x 2 x 5 x 257 x 643

Step 4: Therefore, the least common multiple of 5140 and 5144 is 6610040.