Least Common Multiple of 4651 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 4651 and 4658 the smallest integer that is 21664358 that is divisible by both numbers.

Least Common Multiple (LCM) of 4651 and 4658 is 21664358.

LCM(4651,4658) = 21664358

LCM of 4651 and 4658

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

LCM of:
and

Least Common Multiple of 4651 and 4658

LCM of 4651 and 4658 is 21664358

Least common multiple can be found by multiplying the highest exponent prime factors of 4651 and 4658. First we will calculate the prime factors of 4651 and 4658.

Prime Factorization of 4651


4651 4651
1

Prime factors of 4651 are 4651. Prime factorization of 4651 in exponential form is:

4651 = 46511

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 4651 and 4658.

LCM(4651,4658) = 21×171×1371×46511
LCM(4651,4658) = 21664358

Factors of 4651

List of positive integer factors of 4651 that divides 4651 without a remainder.

1, 4651

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 4651 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 4651 and 4658, than apply into the LCM equation.

GCF(4651,4658) = 1
LCM(4651,4658) = ( 4651 × 4658) / 1
LCM(4651,4658) = 21664358 / 1
LCM(4651,4658) = 21664358

Properties of LCM 4651 and 4658

(i) The LCM of 4658 and 4651 is associative

LCM of 4651 and 4658 = LCM of 4658 and 4651

Related Least Common Multiples of 4651

Related Least Common Multiples of 4658

Frequently Asked Questions on LCM of 4651 and 4658

1. What is the LCM of 4651 and 4658?

Answer: LCM of 4651 and 4658 is 21664358.

2. What are the Factors of 4651?

Answer: Factors of 4651 are 1, 4651. There are 2 integers that are factors of 4651. The greatest factor of 4651 is 4651.

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 4651 and 4658?

Answer:

Least Common Multiple of 4651 and 4658 = 21664358

Step 1: Find the prime factorization of 4651

4651 = 4651

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 = 21664358 = 2 x 17 x 137 x 4651

Step 4: Therefore, the least common multiple of 4651 and 4658 is 21664358.