Least Common Multiple of 7559 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 7559 and 7567 the smallest integer that is 57198953 that is divisible by both numbers.

Least Common Multiple (LCM) of 7559 and 7567 is 57198953.

LCM(7559,7567) = 57198953

LCM of 7559 and 7567

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

LCM of:
and

Least Common Multiple of 7559 and 7567

LCM of 7559 and 7567 is 57198953

Least common multiple can be found by multiplying the highest exponent prime factors of 7559 and 7567. First we will calculate the prime factors of 7559 and 7567.

Prime Factorization of 7559


7559 7559
1

Prime factors of 7559 are 7559. Prime factorization of 7559 in exponential form is:

7559 = 75591

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 7559 and 7567.

LCM(7559,7567) = 71×231×471×75591
LCM(7559,7567) = 57198953

Factors of 7559

List of positive integer factors of 7559 that divides 7559 without a remainder.

1, 7559

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 7559 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 7559 and 7567, than apply into the LCM equation.

GCF(7559,7567) = 1
LCM(7559,7567) = ( 7559 × 7567) / 1
LCM(7559,7567) = 57198953 / 1
LCM(7559,7567) = 57198953

Properties of LCM 7559 and 7567

(i) The LCM of 7567 and 7559 is associative

LCM of 7559 and 7567 = LCM of 7567 and 7559

Related Least Common Multiples of 7559

Related Least Common Multiples of 7567

Frequently Asked Questions on LCM of 7559 and 7567

1. What is the LCM of 7559 and 7567?

Answer: LCM of 7559 and 7567 is 57198953.

2. What are the Factors of 7559?

Answer: Factors of 7559 are 1, 7559. There are 2 integers that are factors of 7559. The greatest factor of 7559 is 7559.

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 7559 and 7567?

Answer:

Least Common Multiple of 7559 and 7567 = 57198953

Step 1: Find the prime factorization of 7559

7559 = 7559

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 = 57198953 = 7 x 23 x 47 x 7559

Step 4: Therefore, the least common multiple of 7559 and 7567 is 57198953.