Least Common Multiple of 5602 and 5610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5602 and 5610 the smallest integer that is 15713610 that is divisible by both numbers.

Least Common Multiple (LCM) of 5602 and 5610 is 15713610.

LCM(5602,5610) = 15713610

LCM of 5602 and 5610

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

LCM of:
and

Least Common Multiple of 5602 and 5610

LCM of 5602 and 5610 is 15713610

Least common multiple can be found by multiplying the highest exponent prime factors of 5602 and 5610. First we will calculate the prime factors of 5602 and 5610.

Prime Factorization of 5602


2 5602
2801 2801
1

Prime factors of 5602 are 2,2801. Prime factorization of 5602 in exponential form is:

5602 = 21×28011

Prime Factorization of 5610


2 5610
3 2805
5 935
11 187
17 17
1

Prime factors of 5610 are 2, 3, 5, 11,17. Prime factorization of 5610 in exponential form is:

5610 = 21×31×51×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5602 and 5610.

LCM(5602,5610) = 21×31×51×111×171×28011
LCM(5602,5610) = 15713610

Factors of 5602

List of positive integer factors of 5602 that divides 5602 without a remainder.

1, 2, 2801, 5602

Factors of 5610

List of positive integer factors of 5610 that divides 5610 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610

Least Common Multiple of 5602 and 5610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5602 and 5610, than apply into the LCM equation.

GCF(5602,5610) = 2
LCM(5602,5610) = ( 5602 × 5610) / 2
LCM(5602,5610) = 31427220 / 2
LCM(5602,5610) = 15713610

Properties of LCM 5602 and 5610

(i) The LCM of 5610 and 5602 is associative

LCM of 5602 and 5610 = LCM of 5610 and 5602

Related Least Common Multiples of 5602

Related Least Common Multiples of 5610

Frequently Asked Questions on LCM of 5602 and 5610

1. What is the LCM of 5602 and 5610?

Answer: LCM of 5602 and 5610 is 15713610.

2. What are the Factors of 5602?

Answer: Factors of 5602 are 1, 2, 2801, 5602. There are 4 integers that are factors of 5602. The greatest factor of 5602 is 5602.

3. What are the Factors of 5610?

Answer: Factors of 5610 are 1, 2, 3, 5, 6, 10, 11, 15, 17, 22, 30, 33, 34, 51, 55, 66, 85, 102, 110, 165, 170, 187, 255, 330, 374, 510, 561, 935, 1122, 1870, 2805, 5610. There are 32 integers that are factors of 5610. The greatest factor of 5610 is 5610.

4. How to Find the LCM of 5602 and 5610?

Answer:

Least Common Multiple of 5602 and 5610 = 15713610

Step 1: Find the prime factorization of 5602

5602 = 2 x 2801

Step 2: Find the prime factorization of 5610

5610 = 2 x 3 x 5 x 11 x 17

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

LCM = 15713610 = 2 x 3 x 5 x 11 x 17 x 2801

Step 4: Therefore, the least common multiple of 5602 and 5610 is 15713610.