Least Common Multiple of 4652 and 4658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4652 and 4658 the smallest integer that is 10834508 that is divisible by both numbers.

Least Common Multiple (LCM) of 4652 and 4658 is 10834508.

LCM(4652,4658) = 10834508

LCM of 4652 and 4658

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

LCM of:
and

Least Common Multiple of 4652 and 4658

LCM of 4652 and 4658 is 10834508

Least common multiple can be found by multiplying the highest exponent prime factors of 4652 and 4658. First we will calculate the prime factors of 4652 and 4658.

Prime Factorization of 4652


2 4652
2 2326
1163 1163
1

Prime factors of 4652 are 2,1163. Prime factorization of 4652 in exponential form is:

4652 = 22×11631

Prime Factorization of 4658


2 4658
17 2329
137 137
1

Prime factors of 4658 are 2, 17,137. Prime factorization of 4658 in exponential form is:

4658 = 21×171×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 4652 and 4658.

LCM(4652,4658) = 22×171×1371×11631
LCM(4652,4658) = 10834508

Factors of 4652

List of positive integer factors of 4652 that divides 4652 without a remainder.

1, 2, 4, 1163, 2326, 4652

Factors of 4658

List of positive integer factors of 4658 that divides 4658 without a remainder.

1, 2, 17, 34, 137, 274, 2329, 4658

Least Common Multiple of 4652 and 4658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4652 and 4658, than apply into the LCM equation.

GCF(4652,4658) = 2
LCM(4652,4658) = ( 4652 × 4658) / 2
LCM(4652,4658) = 21669016 / 2
LCM(4652,4658) = 10834508

Properties of LCM 4652 and 4658

(i) The LCM of 4658 and 4652 is associative

LCM of 4652 and 4658 = LCM of 4658 and 4652

Related Least Common Multiples of 4652

Related Least Common Multiples of 4658

Frequently Asked Questions on LCM of 4652 and 4658

1. What is the LCM of 4652 and 4658?

Answer: LCM of 4652 and 4658 is 10834508.

2. What are the Factors of 4652?

Answer: Factors of 4652 are 1, 2, 4, 1163, 2326, 4652. There are 6 integers that are factors of 4652. The greatest factor of 4652 is 4652.

3. What are the Factors of 4658?

Answer: Factors of 4658 are 1, 2, 17, 34, 137, 274, 2329, 4658. There are 8 integers that are factors of 4658. The greatest factor of 4658 is 4658.

4. How to Find the LCM of 4652 and 4658?

Answer:

Least Common Multiple of 4652 and 4658 = 10834508

Step 1: Find the prime factorization of 4652

4652 = 2 x 2 x 1163

Step 2: Find the prime factorization of 4658

4658 = 2 x 17 x 137

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

LCM = 10834508 = 2 x 2 x 17 x 137 x 1163

Step 4: Therefore, the least common multiple of 4652 and 4658 is 10834508.