Least Common Multiple of 5560 and 5567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5560 and 5567 the smallest integer that is 30952520 that is divisible by both numbers.

Least Common Multiple (LCM) of 5560 and 5567 is 30952520.

LCM(5560,5567) = 30952520

LCM of 5560 and 5567

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

LCM of:
and

Least Common Multiple of 5560 and 5567

LCM of 5560 and 5567 is 30952520

Least common multiple can be found by multiplying the highest exponent prime factors of 5560 and 5567. First we will calculate the prime factors of 5560 and 5567.

Prime Factorization of 5560


2 5560
2 2780
2 1390
5 695
139 139
1

Prime factors of 5560 are 2, 5,139. Prime factorization of 5560 in exponential form is:

5560 = 23×51×1391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5560 and 5567.

LCM(5560,5567) = 23×51×191×1391×2931
LCM(5560,5567) = 30952520

Factors of 5560

List of positive integer factors of 5560 that divides 5560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560

Factors of 5567

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

1, 19, 293, 5567

Least Common Multiple of 5560 and 5567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5560 and 5567, than apply into the LCM equation.

GCF(5560,5567) = 1
LCM(5560,5567) = ( 5560 × 5567) / 1
LCM(5560,5567) = 30952520 / 1
LCM(5560,5567) = 30952520

Properties of LCM 5560 and 5567

(i) The LCM of 5567 and 5560 is associative

LCM of 5560 and 5567 = LCM of 5567 and 5560

Related Least Common Multiples of 5560

Related Least Common Multiples of 5567

Frequently Asked Questions on LCM of 5560 and 5567

1. What is the LCM of 5560 and 5567?

Answer: LCM of 5560 and 5567 is 30952520.

2. What are the Factors of 5560?

Answer: Factors of 5560 are 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560. There are 16 integers that are factors of 5560. The greatest factor of 5560 is 5560.

3. 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.

4. How to Find the LCM of 5560 and 5567?

Answer:

Least Common Multiple of 5560 and 5567 = 30952520

Step 1: Find the prime factorization of 5560

5560 = 2 x 2 x 2 x 5 x 139

Step 2: Find the prime factorization of 5567

5567 = 19 x 293

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

LCM = 30952520 = 2 x 2 x 2 x 5 x 19 x 139 x 293

Step 4: Therefore, the least common multiple of 5560 and 5567 is 30952520.