Least Common Multiple of 4676 and 4681

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 4681 the smallest integer that is 21888356 that is divisible by both numbers.

Least Common Multiple (LCM) of 4676 and 4681 is 21888356.

LCM(4676,4681) = 21888356

LCM of 4676 and 4681

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

LCM of:
and

Least Common Multiple of 4676 and 4681

LCM of 4676 and 4681 is 21888356

Least common multiple can be found by multiplying the highest exponent prime factors of 4676 and 4681. First we will calculate the prime factors of 4676 and 4681.

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 4681


31 4681
151 151
1

Prime factors of 4681 are 31,151. Prime factorization of 4681 in exponential form is:

4681 = 311×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4676 and 4681.

LCM(4676,4681) = 22×71×311×1511×1671
LCM(4676,4681) = 21888356

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 4681

List of positive integer factors of 4681 that divides 4681 without a remainder.

1, 31, 151, 4681

Least Common Multiple of 4676 and 4681 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 4681, than apply into the LCM equation.

GCF(4676,4681) = 1
LCM(4676,4681) = ( 4676 × 4681) / 1
LCM(4676,4681) = 21888356 / 1
LCM(4676,4681) = 21888356

Properties of LCM 4676 and 4681

(i) The LCM of 4681 and 4676 is associative

LCM of 4676 and 4681 = LCM of 4681 and 4676

Related Least Common Multiples of 4676

Related Least Common Multiples of 4681

Frequently Asked Questions on LCM of 4676 and 4681

1. What is the LCM of 4676 and 4681?

Answer: LCM of 4676 and 4681 is 21888356.

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 4681?

Answer: Factors of 4681 are 1, 31, 151, 4681. There are 4 integers that are factors of 4681. The greatest factor of 4681 is 4681.

4. How to Find the LCM of 4676 and 4681?

Answer:

Least Common Multiple of 4676 and 4681 = 21888356

Step 1: Find the prime factorization of 4676

4676 = 2 x 2 x 7 x 167

Step 2: Find the prime factorization of 4681

4681 = 31 x 151

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

LCM = 21888356 = 2 x 2 x 7 x 31 x 151 x 167

Step 4: Therefore, the least common multiple of 4676 and 4681 is 21888356.