Least Common Multiple of 5567 and 5575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5567 and 5575 the smallest integer that is 31036025 that is divisible by both numbers.

Least Common Multiple (LCM) of 5567 and 5575 is 31036025.

LCM(5567,5575) = 31036025

LCM of 5567 and 5575

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

LCM of:
and

Least Common Multiple of 5567 and 5575

LCM of 5567 and 5575 is 31036025

Least common multiple can be found by multiplying the highest exponent prime factors of 5567 and 5575. First we will calculate the prime factors of 5567 and 5575.

Prime Factorization of 5567


19 5567
293 293
1

Prime factors of 5567 are 19,293. Prime factorization of 5567 in exponential form is:

5567 = 191×2931

Prime Factorization of 5575


5 5575
5 1115
223 223
1

Prime factors of 5575 are 5,223. Prime factorization of 5575 in exponential form is:

5575 = 52×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 5567 and 5575.

LCM(5567,5575) = 52×191×2231×2931
LCM(5567,5575) = 31036025

Factors of 5567

List of positive integer factors of 5567 that divides 5567 without a remainder.

1, 19, 293, 5567

Factors of 5575

List of positive integer factors of 5575 that divides 5575 without a remainder.

1, 5, 25, 223, 1115, 5575

Least Common Multiple of 5567 and 5575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5567 and 5575, than apply into the LCM equation.

GCF(5567,5575) = 1
LCM(5567,5575) = ( 5567 × 5575) / 1
LCM(5567,5575) = 31036025 / 1
LCM(5567,5575) = 31036025

Properties of LCM 5567 and 5575

(i) The LCM of 5575 and 5567 is associative

LCM of 5567 and 5575 = LCM of 5575 and 5567

Related Least Common Multiples of 5567

Related Least Common Multiples of 5575

Frequently Asked Questions on LCM of 5567 and 5575

1. What is the LCM of 5567 and 5575?

Answer: LCM of 5567 and 5575 is 31036025.

2. What are the Factors of 5567?

Answer: Factors of 5567 are 1, 19, 293, 5567. There are 4 integers that are factors of 5567. The greatest factor of 5567 is 5567.

3. What are the Factors of 5575?

Answer: Factors of 5575 are 1, 5, 25, 223, 1115, 5575. There are 6 integers that are factors of 5575. The greatest factor of 5575 is 5575.

4. How to Find the LCM of 5567 and 5575?

Answer:

Least Common Multiple of 5567 and 5575 = 31036025

Step 1: Find the prime factorization of 5567

5567 = 19 x 293

Step 2: Find the prime factorization of 5575

5575 = 5 x 5 x 223

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

LCM = 31036025 = 5 x 5 x 19 x 223 x 293

Step 4: Therefore, the least common multiple of 5567 and 5575 is 31036025.