Least Common Multiple of 7561 and 7567

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 7567 the smallest integer that is 57214087 that is divisible by both numbers.

Least Common Multiple (LCM) of 7561 and 7567 is 57214087.

LCM(7561,7567) = 57214087

LCM of 7561 and 7567

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

LCM of:
and

Least Common Multiple of 7561 and 7567

LCM of 7561 and 7567 is 57214087

Least common multiple can be found by multiplying the highest exponent prime factors of 7561 and 7567. First we will calculate the prime factors of 7561 and 7567.

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 7567


7 7567
23 1081
47 47
1

Prime factors of 7567 are 7, 23,47. Prime factorization of 7567 in exponential form is:

7567 = 71×231×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7561 and 7567.

LCM(7561,7567) = 71×231×471×75611
LCM(7561,7567) = 57214087

Factors of 7561

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

1, 7561

Factors of 7567

List of positive integer factors of 7567 that divides 7567 without a remainder.

1, 7, 23, 47, 161, 329, 1081, 7567

Least Common Multiple of 7561 and 7567 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 7567, than apply into the LCM equation.

GCF(7561,7567) = 1
LCM(7561,7567) = ( 7561 × 7567) / 1
LCM(7561,7567) = 57214087 / 1
LCM(7561,7567) = 57214087

Properties of LCM 7561 and 7567

(i) The LCM of 7567 and 7561 is associative

LCM of 7561 and 7567 = LCM of 7567 and 7561

Related Least Common Multiples of 7561

Related Least Common Multiples of 7567

Frequently Asked Questions on LCM of 7561 and 7567

1. What is the LCM of 7561 and 7567?

Answer: LCM of 7561 and 7567 is 57214087.

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 7567?

Answer: Factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567. There are 8 integers that are factors of 7567. The greatest factor of 7567 is 7567.

4. How to Find the LCM of 7561 and 7567?

Answer:

Least Common Multiple of 7561 and 7567 = 57214087

Step 1: Find the prime factorization of 7561

7561 = 7561

Step 2: Find the prime factorization of 7567

7567 = 7 x 23 x 47

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

LCM = 57214087 = 7 x 23 x 47 x 7561

Step 4: Therefore, the least common multiple of 7561 and 7567 is 57214087.