Least Common Multiple of 5140 and 5147

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 5147 the smallest integer that is 26455580 that is divisible by both numbers.

Least Common Multiple (LCM) of 5140 and 5147 is 26455580.

LCM(5140,5147) = 26455580

LCM of 5140 and 5147

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

LCM of:
and

Least Common Multiple of 5140 and 5147

LCM of 5140 and 5147 is 26455580

Least common multiple can be found by multiplying the highest exponent prime factors of 5140 and 5147. First we will calculate the prime factors of 5140 and 5147.

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 5147


5147 5147
1

Prime factors of 5147 are 5147. Prime factorization of 5147 in exponential form is:

5147 = 51471

Now multiplying the highest exponent prime factors to calculate the LCM of 5140 and 5147.

LCM(5140,5147) = 22×51×2571×51471
LCM(5140,5147) = 26455580

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 5147

List of positive integer factors of 5147 that divides 5147 without a remainder.

1, 5147

Least Common Multiple of 5140 and 5147 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 5147, than apply into the LCM equation.

GCF(5140,5147) = 1
LCM(5140,5147) = ( 5140 × 5147) / 1
LCM(5140,5147) = 26455580 / 1
LCM(5140,5147) = 26455580

Properties of LCM 5140 and 5147

(i) The LCM of 5147 and 5140 is associative

LCM of 5140 and 5147 = LCM of 5147 and 5140

Related Least Common Multiples of 5140

Related Least Common Multiples of 5147

Frequently Asked Questions on LCM of 5140 and 5147

1. What is the LCM of 5140 and 5147?

Answer: LCM of 5140 and 5147 is 26455580.

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 5147?

Answer: Factors of 5147 are 1, 5147. There are 2 integers that are factors of 5147. The greatest factor of 5147 is 5147.

4. How to Find the LCM of 5140 and 5147?

Answer:

Least Common Multiple of 5140 and 5147 = 26455580

Step 1: Find the prime factorization of 5140

5140 = 2 x 2 x 5 x 257

Step 2: Find the prime factorization of 5147

5147 = 5147

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

LCM = 26455580 = 2 x 2 x 5 x 257 x 5147

Step 4: Therefore, the least common multiple of 5140 and 5147 is 26455580.