Least Common Multiple of 7569 and 7577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7569 and 7577 the smallest integer that is 57350313 that is divisible by both numbers.

Least Common Multiple (LCM) of 7569 and 7577 is 57350313.

LCM(7569,7577) = 57350313

LCM of 7569 and 7577

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

LCM of:
and

Least Common Multiple of 7569 and 7577

LCM of 7569 and 7577 is 57350313

Least common multiple can be found by multiplying the highest exponent prime factors of 7569 and 7577. First we will calculate the prime factors of 7569 and 7577.

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

Prime Factorization of 7577


7577 7577
1

Prime factors of 7577 are 7577. Prime factorization of 7577 in exponential form is:

7577 = 75771

Now multiplying the highest exponent prime factors to calculate the LCM of 7569 and 7577.

LCM(7569,7577) = 32×292×75771
LCM(7569,7577) = 57350313

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

Factors of 7577

List of positive integer factors of 7577 that divides 7577 without a remainder.

1, 7577

Least Common Multiple of 7569 and 7577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7569 and 7577, than apply into the LCM equation.

GCF(7569,7577) = 1
LCM(7569,7577) = ( 7569 × 7577) / 1
LCM(7569,7577) = 57350313 / 1
LCM(7569,7577) = 57350313

Properties of LCM 7569 and 7577

(i) The LCM of 7577 and 7569 is associative

LCM of 7569 and 7577 = LCM of 7577 and 7569

Related Least Common Multiples of 7569

Related Least Common Multiples of 7577

Frequently Asked Questions on LCM of 7569 and 7577

1. What is the LCM of 7569 and 7577?

Answer: LCM of 7569 and 7577 is 57350313.

2. 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.

3. What are the Factors of 7577?

Answer: Factors of 7577 are 1, 7577. There are 2 integers that are factors of 7577. The greatest factor of 7577 is 7577.

4. How to Find the LCM of 7569 and 7577?

Answer:

Least Common Multiple of 7569 and 7577 = 57350313

Step 1: Find the prime factorization of 7569

7569 = 3 x 3 x 29 x 29

Step 2: Find the prime factorization of 7577

7577 = 7577

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

LCM = 57350313 = 3 x 3 x 29 x 29 x 7577

Step 4: Therefore, the least common multiple of 7569 and 7577 is 57350313.