Least Common Multiple of 4658 and 4666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4658 and 4666 the smallest integer that is 10867114 that is divisible by both numbers.

Least Common Multiple (LCM) of 4658 and 4666 is 10867114.

LCM(4658,4666) = 10867114

LCM of 4658 and 4666

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

LCM of:
and

Least Common Multiple of 4658 and 4666

LCM of 4658 and 4666 is 10867114

Least common multiple can be found by multiplying the highest exponent prime factors of 4658 and 4666. First we will calculate the prime factors of 4658 and 4666.

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

Prime Factorization of 4666


2 4666
2333 2333
1

Prime factors of 4666 are 2,2333. Prime factorization of 4666 in exponential form is:

4666 = 21×23331

Now multiplying the highest exponent prime factors to calculate the LCM of 4658 and 4666.

LCM(4658,4666) = 21×171×1371×23331
LCM(4658,4666) = 10867114

Factors of 4658

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

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

Factors of 4666

List of positive integer factors of 4666 that divides 4666 without a remainder.

1, 2, 2333, 4666

Least Common Multiple of 4658 and 4666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4658 and 4666, than apply into the LCM equation.

GCF(4658,4666) = 2
LCM(4658,4666) = ( 4658 × 4666) / 2
LCM(4658,4666) = 21734228 / 2
LCM(4658,4666) = 10867114

Properties of LCM 4658 and 4666

(i) The LCM of 4666 and 4658 is associative

LCM of 4658 and 4666 = LCM of 4666 and 4658

Related Least Common Multiples of 4658

Related Least Common Multiples of 4666

Frequently Asked Questions on LCM of 4658 and 4666

1. What is the LCM of 4658 and 4666?

Answer: LCM of 4658 and 4666 is 10867114.

2. 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.

3. What are the Factors of 4666?

Answer: Factors of 4666 are 1, 2, 2333, 4666. There are 4 integers that are factors of 4666. The greatest factor of 4666 is 4666.

4. How to Find the LCM of 4658 and 4666?

Answer:

Least Common Multiple of 4658 and 4666 = 10867114

Step 1: Find the prime factorization of 4658

4658 = 2 x 17 x 137

Step 2: Find the prime factorization of 4666

4666 = 2 x 2333

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

LCM = 10867114 = 2 x 17 x 137 x 2333

Step 4: Therefore, the least common multiple of 4658 and 4666 is 10867114.