Least Common Multiple of 5654 and 5658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5654 and 5658 the smallest integer that is 15995166 that is divisible by both numbers.

Least Common Multiple (LCM) of 5654 and 5658 is 15995166.

LCM(5654,5658) = 15995166

LCM of 5654 and 5658

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

LCM of:
and

Least Common Multiple of 5654 and 5658

LCM of 5654 and 5658 is 15995166

Least common multiple can be found by multiplying the highest exponent prime factors of 5654 and 5658. First we will calculate the prime factors of 5654 and 5658.

Prime Factorization of 5654


2 5654
11 2827
257 257
1

Prime factors of 5654 are 2, 11,257. Prime factorization of 5654 in exponential form is:

5654 = 21×111×2571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5654 and 5658.

LCM(5654,5658) = 21×31×111×231×411×2571
LCM(5654,5658) = 15995166

Factors of 5654

List of positive integer factors of 5654 that divides 5654 without a remainder.

1, 2, 11, 22, 257, 514, 2827, 5654

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

Least Common Multiple of 5654 and 5658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5654 and 5658, than apply into the LCM equation.

GCF(5654,5658) = 2
LCM(5654,5658) = ( 5654 × 5658) / 2
LCM(5654,5658) = 31990332 / 2
LCM(5654,5658) = 15995166

Properties of LCM 5654 and 5658

(i) The LCM of 5658 and 5654 is associative

LCM of 5654 and 5658 = LCM of 5658 and 5654

Related Least Common Multiples of 5654

Related Least Common Multiples of 5658

Frequently Asked Questions on LCM of 5654 and 5658

1. What is the LCM of 5654 and 5658?

Answer: LCM of 5654 and 5658 is 15995166.

2. What are the Factors of 5654?

Answer: Factors of 5654 are 1, 2, 11, 22, 257, 514, 2827, 5654. There are 8 integers that are factors of 5654. The greatest factor of 5654 is 5654.

3. 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.

4. How to Find the LCM of 5654 and 5658?

Answer:

Least Common Multiple of 5654 and 5658 = 15995166

Step 1: Find the prime factorization of 5654

5654 = 2 x 11 x 257

Step 2: Find the prime factorization of 5658

5658 = 2 x 3 x 23 x 41

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

LCM = 15995166 = 2 x 3 x 11 x 23 x 41 x 257

Step 4: Therefore, the least common multiple of 5654 and 5658 is 15995166.