Least Common Multiple of 4561 and 4569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4561 and 4569 the smallest integer that is 20839209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4561 and 4569 is 20839209.

LCM(4561,4569) = 20839209

LCM of 4561 and 4569

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

LCM of:
and

Least Common Multiple of 4561 and 4569

LCM of 4561 and 4569 is 20839209

Least common multiple can be found by multiplying the highest exponent prime factors of 4561 and 4569. First we will calculate the prime factors of 4561 and 4569.

Prime Factorization of 4561


4561 4561
1

Prime factors of 4561 are 4561. Prime factorization of 4561 in exponential form is:

4561 = 45611

Prime Factorization of 4569


3 4569
1523 1523
1

Prime factors of 4569 are 3,1523. Prime factorization of 4569 in exponential form is:

4569 = 31×15231

Now multiplying the highest exponent prime factors to calculate the LCM of 4561 and 4569.

LCM(4561,4569) = 31×15231×45611
LCM(4561,4569) = 20839209

Factors of 4561

List of positive integer factors of 4561 that divides 4561 without a remainder.

1, 4561

Factors of 4569

List of positive integer factors of 4569 that divides 4569 without a remainder.

1, 3, 1523, 4569

Least Common Multiple of 4561 and 4569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4561 and 4569, than apply into the LCM equation.

GCF(4561,4569) = 1
LCM(4561,4569) = ( 4561 × 4569) / 1
LCM(4561,4569) = 20839209 / 1
LCM(4561,4569) = 20839209

Properties of LCM 4561 and 4569

(i) The LCM of 4569 and 4561 is associative

LCM of 4561 and 4569 = LCM of 4569 and 4561

Related Least Common Multiples of 4561

Related Least Common Multiples of 4569

Frequently Asked Questions on LCM of 4561 and 4569

1. What is the LCM of 4561 and 4569?

Answer: LCM of 4561 and 4569 is 20839209.

2. What are the Factors of 4561?

Answer: Factors of 4561 are 1, 4561. There are 2 integers that are factors of 4561. The greatest factor of 4561 is 4561.

3. What are the Factors of 4569?

Answer: Factors of 4569 are 1, 3, 1523, 4569. There are 4 integers that are factors of 4569. The greatest factor of 4569 is 4569.

4. How to Find the LCM of 4561 and 4569?

Answer:

Least Common Multiple of 4561 and 4569 = 20839209

Step 1: Find the prime factorization of 4561

4561 = 4561

Step 2: Find the prime factorization of 4569

4569 = 3 x 1523

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

LCM = 20839209 = 3 x 1523 x 4561

Step 4: Therefore, the least common multiple of 4561 and 4569 is 20839209.