Least Common Multiple of 4535 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 4535 and 4541 the smallest integer that is 20593435 that is divisible by both numbers.

Least Common Multiple (LCM) of 4535 and 4541 is 20593435.

LCM(4535,4541) = 20593435

LCM of 4535 and 4541

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

LCM of:
and

Least Common Multiple of 4535 and 4541

LCM of 4535 and 4541 is 20593435

Least common multiple can be found by multiplying the highest exponent prime factors of 4535 and 4541. First we will calculate the prime factors of 4535 and 4541.

Prime Factorization of 4535


5 4535
907 907
1

Prime factors of 4535 are 5,907. Prime factorization of 4535 in exponential form is:

4535 = 51×9071

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 4535 and 4541.

LCM(4535,4541) = 51×191×2391×9071
LCM(4535,4541) = 20593435

Factors of 4535

List of positive integer factors of 4535 that divides 4535 without a remainder.

1, 5, 907, 4535

Factors of 4541

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

1, 19, 239, 4541

Least Common Multiple of 4535 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 4535 and 4541, than apply into the LCM equation.

GCF(4535,4541) = 1
LCM(4535,4541) = ( 4535 × 4541) / 1
LCM(4535,4541) = 20593435 / 1
LCM(4535,4541) = 20593435

Properties of LCM 4535 and 4541

(i) The LCM of 4541 and 4535 is associative

LCM of 4535 and 4541 = LCM of 4541 and 4535

Related Least Common Multiples of 4535

Related Least Common Multiples of 4541

Frequently Asked Questions on LCM of 4535 and 4541

1. What is the LCM of 4535 and 4541?

Answer: LCM of 4535 and 4541 is 20593435.

2. What are the Factors of 4535?

Answer: Factors of 4535 are 1, 5, 907, 4535. There are 4 integers that are factors of 4535. The greatest factor of 4535 is 4535.

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 4535 and 4541?

Answer:

Least Common Multiple of 4535 and 4541 = 20593435

Step 1: Find the prime factorization of 4535

4535 = 5 x 907

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 = 20593435 = 5 x 19 x 239 x 907

Step 4: Therefore, the least common multiple of 4535 and 4541 is 20593435.