Least Common Multiple of 4540 and 4541

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 4541 the smallest integer that is 20616140 that is divisible by both numbers.

Least Common Multiple (LCM) of 4540 and 4541 is 20616140.

LCM(4540,4541) = 20616140

LCM of 4540 and 4541

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

LCM of:
and

Least Common Multiple of 4540 and 4541

LCM of 4540 and 4541 is 20616140

Least common multiple can be found by multiplying the highest exponent prime factors of 4540 and 4541. First we will calculate the prime factors of 4540 and 4541.

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 4541


19 4541
239 239
1

Prime factors of 4541 are 19,239. Prime factorization of 4541 in exponential form is:

4541 = 191×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 4540 and 4541.

LCM(4540,4541) = 22×51×191×2271×2391
LCM(4540,4541) = 20616140

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 4541

List of positive integer factors of 4541 that divides 4541 without a remainder.

1, 19, 239, 4541

Least Common Multiple of 4540 and 4541 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 4541, than apply into the LCM equation.

GCF(4540,4541) = 1
LCM(4540,4541) = ( 4540 × 4541) / 1
LCM(4540,4541) = 20616140 / 1
LCM(4540,4541) = 20616140

Properties of LCM 4540 and 4541

(i) The LCM of 4541 and 4540 is associative

LCM of 4540 and 4541 = LCM of 4541 and 4540

Related Least Common Multiples of 4540

Related Least Common Multiples of 4541

Frequently Asked Questions on LCM of 4540 and 4541

1. What is the LCM of 4540 and 4541?

Answer: LCM of 4540 and 4541 is 20616140.

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 4541?

Answer: Factors of 4541 are 1, 19, 239, 4541. There are 4 integers that are factors of 4541. The greatest factor of 4541 is 4541.

4. How to Find the LCM of 4540 and 4541?

Answer:

Least Common Multiple of 4540 and 4541 = 20616140

Step 1: Find the prime factorization of 4540

4540 = 2 x 2 x 5 x 227

Step 2: Find the prime factorization of 4541

4541 = 19 x 239

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

LCM = 20616140 = 2 x 2 x 5 x 19 x 227 x 239

Step 4: Therefore, the least common multiple of 4540 and 4541 is 20616140.