Least Common Multiple of 4676 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 4676 and 4682 the smallest integer that is 10946516 that is divisible by both numbers.

Least Common Multiple (LCM) of 4676 and 4682 is 10946516.

LCM(4676,4682) = 10946516

LCM of 4676 and 4682

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

LCM of:
and

Least Common Multiple of 4676 and 4682

LCM of 4676 and 4682 is 10946516

Least common multiple can be found by multiplying the highest exponent prime factors of 4676 and 4682. First we will calculate the prime factors of 4676 and 4682.

Prime Factorization of 4676


2 4676
2 2338
7 1169
167 167
1

Prime factors of 4676 are 2, 7,167. Prime factorization of 4676 in exponential form is:

4676 = 22×71×1671

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 4676 and 4682.

LCM(4676,4682) = 22×71×1671×23411
LCM(4676,4682) = 10946516

Factors of 4676

List of positive integer factors of 4676 that divides 4676 without a remainder.

1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676

Factors of 4682

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

1, 2, 2341, 4682

Least Common Multiple of 4676 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 4676 and 4682, than apply into the LCM equation.

GCF(4676,4682) = 2
LCM(4676,4682) = ( 4676 × 4682) / 2
LCM(4676,4682) = 21893032 / 2
LCM(4676,4682) = 10946516

Properties of LCM 4676 and 4682

(i) The LCM of 4682 and 4676 is associative

LCM of 4676 and 4682 = LCM of 4682 and 4676

Related Least Common Multiples of 4676

Related Least Common Multiples of 4682

Frequently Asked Questions on LCM of 4676 and 4682

1. What is the LCM of 4676 and 4682?

Answer: LCM of 4676 and 4682 is 10946516.

2. What are the Factors of 4676?

Answer: Factors of 4676 are 1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676. There are 12 integers that are factors of 4676. The greatest factor of 4676 is 4676.

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 4676 and 4682?

Answer:

Least Common Multiple of 4676 and 4682 = 10946516

Step 1: Find the prime factorization of 4676

4676 = 2 x 2 x 7 x 167

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 = 10946516 = 2 x 2 x 7 x 167 x 2341

Step 4: Therefore, the least common multiple of 4676 and 4682 is 10946516.