Least Common Multiple of 4654 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 4654 and 4658 the smallest integer that is 10839166 that is divisible by both numbers.

Least Common Multiple (LCM) of 4654 and 4658 is 10839166.

LCM(4654,4658) = 10839166

LCM of 4654 and 4658

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

LCM of:
and

Least Common Multiple of 4654 and 4658

LCM of 4654 and 4658 is 10839166

Least common multiple can be found by multiplying the highest exponent prime factors of 4654 and 4658. First we will calculate the prime factors of 4654 and 4658.

Prime Factorization of 4654


2 4654
13 2327
179 179
1

Prime factors of 4654 are 2, 13,179. Prime factorization of 4654 in exponential form is:

4654 = 21×131×1791

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 4654 and 4658.

LCM(4654,4658) = 21×131×171×1371×1791
LCM(4654,4658) = 10839166

Factors of 4654

List of positive integer factors of 4654 that divides 4654 without a remainder.

1, 2, 13, 26, 179, 358, 2327, 4654

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 4654 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 4654 and 4658, than apply into the LCM equation.

GCF(4654,4658) = 2
LCM(4654,4658) = ( 4654 × 4658) / 2
LCM(4654,4658) = 21678332 / 2
LCM(4654,4658) = 10839166

Properties of LCM 4654 and 4658

(i) The LCM of 4658 and 4654 is associative

LCM of 4654 and 4658 = LCM of 4658 and 4654

Related Least Common Multiples of 4654

Related Least Common Multiples of 4658

Frequently Asked Questions on LCM of 4654 and 4658

1. What is the LCM of 4654 and 4658?

Answer: LCM of 4654 and 4658 is 10839166.

2. What are the Factors of 4654?

Answer: Factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654. There are 8 integers that are factors of 4654. The greatest factor of 4654 is 4654.

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 4654 and 4658?

Answer:

Least Common Multiple of 4654 and 4658 = 10839166

Step 1: Find the prime factorization of 4654

4654 = 2 x 13 x 179

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 = 10839166 = 2 x 13 x 17 x 137 x 179

Step 4: Therefore, the least common multiple of 4654 and 4658 is 10839166.