Least Common Multiple of 5567 and 5574

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 5574 the smallest integer that is 31030458 that is divisible by both numbers.

Least Common Multiple (LCM) of 5567 and 5574 is 31030458.

LCM(5567,5574) = 31030458

LCM of 5567 and 5574

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

LCM of:
and

Least Common Multiple of 5567 and 5574

LCM of 5567 and 5574 is 31030458

Least common multiple can be found by multiplying the highest exponent prime factors of 5567 and 5574. First we will calculate the prime factors of 5567 and 5574.

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 5574


2 5574
3 2787
929 929
1

Prime factors of 5574 are 2, 3,929. Prime factorization of 5574 in exponential form is:

5574 = 21×31×9291

Now multiplying the highest exponent prime factors to calculate the LCM of 5567 and 5574.

LCM(5567,5574) = 21×31×191×2931×9291
LCM(5567,5574) = 31030458

Factors of 5567

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

1, 19, 293, 5567

Factors of 5574

List of positive integer factors of 5574 that divides 5574 without a remainder.

1, 2, 3, 6, 929, 1858, 2787, 5574

Least Common Multiple of 5567 and 5574 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 5574, than apply into the LCM equation.

GCF(5567,5574) = 1
LCM(5567,5574) = ( 5567 × 5574) / 1
LCM(5567,5574) = 31030458 / 1
LCM(5567,5574) = 31030458

Properties of LCM 5567 and 5574

(i) The LCM of 5574 and 5567 is associative

LCM of 5567 and 5574 = LCM of 5574 and 5567

Related Least Common Multiples of 5567

Related Least Common Multiples of 5574

Frequently Asked Questions on LCM of 5567 and 5574

1. What is the LCM of 5567 and 5574?

Answer: LCM of 5567 and 5574 is 31030458.

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 5574?

Answer: Factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574. There are 8 integers that are factors of 5574. The greatest factor of 5574 is 5574.

4. How to Find the LCM of 5567 and 5574?

Answer:

Least Common Multiple of 5567 and 5574 = 31030458

Step 1: Find the prime factorization of 5567

5567 = 19 x 293

Step 2: Find the prime factorization of 5574

5574 = 2 x 3 x 929

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

LCM = 31030458 = 2 x 3 x 19 x 293 x 929

Step 4: Therefore, the least common multiple of 5567 and 5574 is 31030458.