Least Common Multiple of 5658 and 5660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5658 and 5660 the smallest integer that is 16012140 that is divisible by both numbers.

Least Common Multiple (LCM) of 5658 and 5660 is 16012140.

LCM(5658,5660) = 16012140

LCM of 5658 and 5660

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

LCM of:
and

Least Common Multiple of 5658 and 5660

LCM of 5658 and 5660 is 16012140

Least common multiple can be found by multiplying the highest exponent prime factors of 5658 and 5660. First we will calculate the prime factors of 5658 and 5660.

Prime Factorization of 5658


2 5658
3 2829
23 943
41 41
1

Prime factors of 5658 are 2, 3, 23,41. Prime factorization of 5658 in exponential form is:

5658 = 21×31×231×411

Prime Factorization of 5660


2 5660
2 2830
5 1415
283 283
1

Prime factors of 5660 are 2, 5,283. Prime factorization of 5660 in exponential form is:

5660 = 22×51×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 5658 and 5660.

LCM(5658,5660) = 22×31×51×231×411×2831
LCM(5658,5660) = 16012140

Factors of 5658

List of positive integer factors of 5658 that divides 5658 without a remainder.

1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658

Factors of 5660

List of positive integer factors of 5660 that divides 5660 without a remainder.

1, 2, 4, 5, 10, 20, 283, 566, 1132, 1415, 2830, 5660

Least Common Multiple of 5658 and 5660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5658 and 5660, than apply into the LCM equation.

GCF(5658,5660) = 2
LCM(5658,5660) = ( 5658 × 5660) / 2
LCM(5658,5660) = 32024280 / 2
LCM(5658,5660) = 16012140

Properties of LCM 5658 and 5660

(i) The LCM of 5660 and 5658 is associative

LCM of 5658 and 5660 = LCM of 5660 and 5658

Related Least Common Multiples of 5658

Related Least Common Multiples of 5660

Frequently Asked Questions on LCM of 5658 and 5660

1. What is the LCM of 5658 and 5660?

Answer: LCM of 5658 and 5660 is 16012140.

2. What are the Factors of 5658?

Answer: Factors of 5658 are 1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658. There are 16 integers that are factors of 5658. The greatest factor of 5658 is 5658.

3. What are the Factors of 5660?

Answer: Factors of 5660 are 1, 2, 4, 5, 10, 20, 283, 566, 1132, 1415, 2830, 5660. There are 12 integers that are factors of 5660. The greatest factor of 5660 is 5660.

4. How to Find the LCM of 5658 and 5660?

Answer:

Least Common Multiple of 5658 and 5660 = 16012140

Step 1: Find the prime factorization of 5658

5658 = 2 x 3 x 23 x 41

Step 2: Find the prime factorization of 5660

5660 = 2 x 2 x 5 x 283

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

LCM = 16012140 = 2 x 2 x 3 x 5 x 23 x 41 x 283

Step 4: Therefore, the least common multiple of 5658 and 5660 is 16012140.