Least Common Multiple of 4540 and 4544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4540 and 4544 the smallest integer that is 5157440 that is divisible by both numbers.

Least Common Multiple (LCM) of 4540 and 4544 is 5157440.

LCM(4540,4544) = 5157440

LCM of 4540 and 4544

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

LCM of:
and

Least Common Multiple of 4540 and 4544

LCM of 4540 and 4544 is 5157440

Least common multiple can be found by multiplying the highest exponent prime factors of 4540 and 4544. First we will calculate the prime factors of 4540 and 4544.

Prime Factorization of 4540


2 4540
2 2270
5 1135
227 227
1

Prime factors of 4540 are 2, 5,227. Prime factorization of 4540 in exponential form is:

4540 = 22×51×2271

Prime Factorization of 4544


2 4544
2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 4544 are 2,71. Prime factorization of 4544 in exponential form is:

4544 = 26×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4540 and 4544.

LCM(4540,4544) = 26×51×711×2271
LCM(4540,4544) = 5157440

Factors of 4540

List of positive integer factors of 4540 that divides 4540 without a remainder.

1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540

Factors of 4544

List of positive integer factors of 4544 that divides 4544 without a remainder.

1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544

Least Common Multiple of 4540 and 4544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4540 and 4544, than apply into the LCM equation.

GCF(4540,4544) = 4
LCM(4540,4544) = ( 4540 × 4544) / 4
LCM(4540,4544) = 20629760 / 4
LCM(4540,4544) = 5157440

Properties of LCM 4540 and 4544

(i) The LCM of 4544 and 4540 is associative

LCM of 4540 and 4544 = LCM of 4544 and 4540

Related Least Common Multiples of 4540

Related Least Common Multiples of 4544

Frequently Asked Questions on LCM of 4540 and 4544

1. What is the LCM of 4540 and 4544?

Answer: LCM of 4540 and 4544 is 5157440.

2. What are the Factors of 4540?

Answer: Factors of 4540 are 1, 2, 4, 5, 10, 20, 227, 454, 908, 1135, 2270, 4540. There are 12 integers that are factors of 4540. The greatest factor of 4540 is 4540.

3. What are the Factors of 4544?

Answer: Factors of 4544 are 1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544. There are 14 integers that are factors of 4544. The greatest factor of 4544 is 4544.

4. How to Find the LCM of 4540 and 4544?

Answer:

Least Common Multiple of 4540 and 4544 = 5157440

Step 1: Find the prime factorization of 4540

4540 = 2 x 2 x 5 x 227

Step 2: Find the prime factorization of 4544

4544 = 2 x 2 x 2 x 2 x 2 x 2 x 71

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

LCM = 5157440 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 71 x 227

Step 4: Therefore, the least common multiple of 4540 and 4544 is 5157440.