Least Common Multiple of 5610 and 5614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5610 and 5614 the smallest integer that is 15747270 that is divisible by both numbers.

Least Common Multiple (LCM) of 5610 and 5614 is 15747270.

LCM(5610,5614) = 15747270

LCM of 5610 and 5614

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

LCM of:
and

Least Common Multiple of 5610 and 5614

LCM of 5610 and 5614 is 15747270

Least common multiple can be found by multiplying the highest exponent prime factors of 5610 and 5614. First we will calculate the prime factors of 5610 and 5614.

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

Prime Factorization of 5614


2 5614
7 2807
401 401
1

Prime factors of 5614 are 2, 7,401. Prime factorization of 5614 in exponential form is:

5614 = 21×71×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 5610 and 5614.

LCM(5610,5614) = 21×31×51×71×111×171×4011
LCM(5610,5614) = 15747270

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

Factors of 5614

List of positive integer factors of 5614 that divides 5614 without a remainder.

1, 2, 7, 14, 401, 802, 2807, 5614

Least Common Multiple of 5610 and 5614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5610 and 5614, than apply into the LCM equation.

GCF(5610,5614) = 2
LCM(5610,5614) = ( 5610 × 5614) / 2
LCM(5610,5614) = 31494540 / 2
LCM(5610,5614) = 15747270

Properties of LCM 5610 and 5614

(i) The LCM of 5614 and 5610 is associative

LCM of 5610 and 5614 = LCM of 5614 and 5610

Related Least Common Multiples of 5610

Related Least Common Multiples of 5614

Frequently Asked Questions on LCM of 5610 and 5614

1. What is the LCM of 5610 and 5614?

Answer: LCM of 5610 and 5614 is 15747270.

2. 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.

3. What are the Factors of 5614?

Answer: Factors of 5614 are 1, 2, 7, 14, 401, 802, 2807, 5614. There are 8 integers that are factors of 5614. The greatest factor of 5614 is 5614.

4. How to Find the LCM of 5610 and 5614?

Answer:

Least Common Multiple of 5610 and 5614 = 15747270

Step 1: Find the prime factorization of 5610

5610 = 2 x 3 x 5 x 11 x 17

Step 2: Find the prime factorization of 5614

5614 = 2 x 7 x 401

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

LCM = 15747270 = 2 x 3 x 5 x 7 x 11 x 17 x 401

Step 4: Therefore, the least common multiple of 5610 and 5614 is 15747270.