Least Common Multiple of 5652 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 5652 and 5658 the smallest integer that is 5329836 that is divisible by both numbers.

Least Common Multiple (LCM) of 5652 and 5658 is 5329836.

LCM(5652,5658) = 5329836

LCM of 5652 and 5658

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

LCM of:
and

Least Common Multiple of 5652 and 5658

LCM of 5652 and 5658 is 5329836

Least common multiple can be found by multiplying the highest exponent prime factors of 5652 and 5658. First we will calculate the prime factors of 5652 and 5658.

Prime Factorization of 5652


2 5652
2 2826
3 1413
3 471
157 157
1

Prime factors of 5652 are 2, 3,157. Prime factorization of 5652 in exponential form is:

5652 = 22×32×1571

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 5652 and 5658.

LCM(5652,5658) = 22×32×231×411×1571
LCM(5652,5658) = 5329836

Factors of 5652

List of positive integer factors of 5652 that divides 5652 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652

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 5652 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 5652 and 5658, than apply into the LCM equation.

GCF(5652,5658) = 6
LCM(5652,5658) = ( 5652 × 5658) / 6
LCM(5652,5658) = 31979016 / 6
LCM(5652,5658) = 5329836

Properties of LCM 5652 and 5658

(i) The LCM of 5658 and 5652 is associative

LCM of 5652 and 5658 = LCM of 5658 and 5652

Related Least Common Multiples of 5652

Related Least Common Multiples of 5658

Frequently Asked Questions on LCM of 5652 and 5658

1. What is the LCM of 5652 and 5658?

Answer: LCM of 5652 and 5658 is 5329836.

2. What are the Factors of 5652?

Answer: Factors of 5652 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 157, 314, 471, 628, 942, 1413, 1884, 2826, 5652. There are 18 integers that are factors of 5652. The greatest factor of 5652 is 5652.

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 5652 and 5658?

Answer:

Least Common Multiple of 5652 and 5658 = 5329836

Step 1: Find the prime factorization of 5652

5652 = 2 x 2 x 3 x 3 x 157

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 = 5329836 = 2 x 2 x 3 x 3 x 23 x 41 x 157

Step 4: Therefore, the least common multiple of 5652 and 5658 is 5329836.