Least Common Multiple of 4678 and 4686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4678 and 4686 the smallest integer that is 10960554 that is divisible by both numbers.

Least Common Multiple (LCM) of 4678 and 4686 is 10960554.

LCM(4678,4686) = 10960554

LCM of 4678 and 4686

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

LCM of:
and

Least Common Multiple of 4678 and 4686

LCM of 4678 and 4686 is 10960554

Least common multiple can be found by multiplying the highest exponent prime factors of 4678 and 4686. First we will calculate the prime factors of 4678 and 4686.

Prime Factorization of 4678


2 4678
2339 2339
1

Prime factors of 4678 are 2,2339. Prime factorization of 4678 in exponential form is:

4678 = 21×23391

Prime Factorization of 4686


2 4686
3 2343
11 781
71 71
1

Prime factors of 4686 are 2, 3, 11,71. Prime factorization of 4686 in exponential form is:

4686 = 21×31×111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4678 and 4686.

LCM(4678,4686) = 21×31×111×711×23391
LCM(4678,4686) = 10960554

Factors of 4678

List of positive integer factors of 4678 that divides 4678 without a remainder.

1, 2, 2339, 4678

Factors of 4686

List of positive integer factors of 4686 that divides 4686 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686

Least Common Multiple of 4678 and 4686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4678 and 4686, than apply into the LCM equation.

GCF(4678,4686) = 2
LCM(4678,4686) = ( 4678 × 4686) / 2
LCM(4678,4686) = 21921108 / 2
LCM(4678,4686) = 10960554

Properties of LCM 4678 and 4686

(i) The LCM of 4686 and 4678 is associative

LCM of 4678 and 4686 = LCM of 4686 and 4678

Related Least Common Multiples of 4678

Related Least Common Multiples of 4686

Frequently Asked Questions on LCM of 4678 and 4686

1. What is the LCM of 4678 and 4686?

Answer: LCM of 4678 and 4686 is 10960554.

2. What are the Factors of 4678?

Answer: Factors of 4678 are 1, 2, 2339, 4678. There are 4 integers that are factors of 4678. The greatest factor of 4678 is 4678.

3. What are the Factors of 4686?

Answer: Factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686. There are 16 integers that are factors of 4686. The greatest factor of 4686 is 4686.

4. How to Find the LCM of 4678 and 4686?

Answer:

Least Common Multiple of 4678 and 4686 = 10960554

Step 1: Find the prime factorization of 4678

4678 = 2 x 2339

Step 2: Find the prime factorization of 4686

4686 = 2 x 3 x 11 x 71

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

LCM = 10960554 = 2 x 3 x 11 x 71 x 2339

Step 4: Therefore, the least common multiple of 4678 and 4686 is 10960554.