Least Common Multiple of 7561 and 7569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7561 and 7569 the smallest integer that is 57229209 that is divisible by both numbers.

Least Common Multiple (LCM) of 7561 and 7569 is 57229209.

LCM(7561,7569) = 57229209

LCM of 7561 and 7569

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

LCM of:
and

Least Common Multiple of 7561 and 7569

LCM of 7561 and 7569 is 57229209

Least common multiple can be found by multiplying the highest exponent prime factors of 7561 and 7569. First we will calculate the prime factors of 7561 and 7569.

Prime Factorization of 7561


7561 7561
1

Prime factors of 7561 are 7561. Prime factorization of 7561 in exponential form is:

7561 = 75611

Prime Factorization of 7569


3 7569
3 2523
29 841
29 29
1

Prime factors of 7569 are 3,29. Prime factorization of 7569 in exponential form is:

7569 = 32×292

Now multiplying the highest exponent prime factors to calculate the LCM of 7561 and 7569.

LCM(7561,7569) = 32×292×75611
LCM(7561,7569) = 57229209

Factors of 7561

List of positive integer factors of 7561 that divides 7561 without a remainder.

1, 7561

Factors of 7569

List of positive integer factors of 7569 that divides 7569 without a remainder.

1, 3, 9, 29, 87, 261, 841, 2523, 7569

Least Common Multiple of 7561 and 7569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7561 and 7569, than apply into the LCM equation.

GCF(7561,7569) = 1
LCM(7561,7569) = ( 7561 × 7569) / 1
LCM(7561,7569) = 57229209 / 1
LCM(7561,7569) = 57229209

Properties of LCM 7561 and 7569

(i) The LCM of 7569 and 7561 is associative

LCM of 7561 and 7569 = LCM of 7569 and 7561

Related Least Common Multiples of 7561

Related Least Common Multiples of 7569

Frequently Asked Questions on LCM of 7561 and 7569

1. What is the LCM of 7561 and 7569?

Answer: LCM of 7561 and 7569 is 57229209.

2. What are the Factors of 7561?

Answer: Factors of 7561 are 1, 7561. There are 2 integers that are factors of 7561. The greatest factor of 7561 is 7561.

3. What are the Factors of 7569?

Answer: Factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569. There are 9 integers that are factors of 7569. The greatest factor of 7569 is 7569.

4. How to Find the LCM of 7561 and 7569?

Answer:

Least Common Multiple of 7561 and 7569 = 57229209

Step 1: Find the prime factorization of 7561

7561 = 7561

Step 2: Find the prime factorization of 7569

7569 = 3 x 3 x 29 x 29

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

LCM = 57229209 = 3 x 3 x 29 x 29 x 7561

Step 4: Therefore, the least common multiple of 7561 and 7569 is 57229209.