Least Common Multiple of 4678 and 4682

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 4682 the smallest integer that is 10951198 that is divisible by both numbers.

Least Common Multiple (LCM) of 4678 and 4682 is 10951198.

LCM(4678,4682) = 10951198

LCM of 4678 and 4682

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

LCM of:
and

Least Common Multiple of 4678 and 4682

LCM of 4678 and 4682 is 10951198

Least common multiple can be found by multiplying the highest exponent prime factors of 4678 and 4682. First we will calculate the prime factors of 4678 and 4682.

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 4682


2 4682
2341 2341
1

Prime factors of 4682 are 2,2341. Prime factorization of 4682 in exponential form is:

4682 = 21×23411

Now multiplying the highest exponent prime factors to calculate the LCM of 4678 and 4682.

LCM(4678,4682) = 21×23391×23411
LCM(4678,4682) = 10951198

Factors of 4678

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

1, 2, 2339, 4678

Factors of 4682

List of positive integer factors of 4682 that divides 4682 without a remainder.

1, 2, 2341, 4682

Least Common Multiple of 4678 and 4682 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 4682, than apply into the LCM equation.

GCF(4678,4682) = 2
LCM(4678,4682) = ( 4678 × 4682) / 2
LCM(4678,4682) = 21902396 / 2
LCM(4678,4682) = 10951198

Properties of LCM 4678 and 4682

(i) The LCM of 4682 and 4678 is associative

LCM of 4678 and 4682 = LCM of 4682 and 4678

Related Least Common Multiples of 4678

Related Least Common Multiples of 4682

Frequently Asked Questions on LCM of 4678 and 4682

1. What is the LCM of 4678 and 4682?

Answer: LCM of 4678 and 4682 is 10951198.

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 4682?

Answer: Factors of 4682 are 1, 2, 2341, 4682. There are 4 integers that are factors of 4682. The greatest factor of 4682 is 4682.

4. How to Find the LCM of 4678 and 4682?

Answer:

Least Common Multiple of 4678 and 4682 = 10951198

Step 1: Find the prime factorization of 4678

4678 = 2 x 2339

Step 2: Find the prime factorization of 4682

4682 = 2 x 2341

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

LCM = 10951198 = 2 x 2339 x 2341

Step 4: Therefore, the least common multiple of 4678 and 4682 is 10951198.