Least Common Multiple of 4668 and 4676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4668 and 4676 the smallest integer that is 5456892 that is divisible by both numbers.

Least Common Multiple (LCM) of 4668 and 4676 is 5456892.

LCM(4668,4676) = 5456892

LCM of 4668 and 4676

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

LCM of:
and

Least Common Multiple of 4668 and 4676

LCM of 4668 and 4676 is 5456892

Least common multiple can be found by multiplying the highest exponent prime factors of 4668 and 4676. First we will calculate the prime factors of 4668 and 4676.

Prime Factorization of 4668


2 4668
2 2334
3 1167
389 389
1

Prime factors of 4668 are 2, 3,389. Prime factorization of 4668 in exponential form is:

4668 = 22×31×3891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4668 and 4676.

LCM(4668,4676) = 22×31×71×1671×3891
LCM(4668,4676) = 5456892

Factors of 4668

List of positive integer factors of 4668 that divides 4668 without a remainder.

1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668

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

Least Common Multiple of 4668 and 4676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4668 and 4676, than apply into the LCM equation.

GCF(4668,4676) = 4
LCM(4668,4676) = ( 4668 × 4676) / 4
LCM(4668,4676) = 21827568 / 4
LCM(4668,4676) = 5456892

Properties of LCM 4668 and 4676

(i) The LCM of 4676 and 4668 is associative

LCM of 4668 and 4676 = LCM of 4676 and 4668

Related Least Common Multiples of 4668

Related Least Common Multiples of 4676

Frequently Asked Questions on LCM of 4668 and 4676

1. What is the LCM of 4668 and 4676?

Answer: LCM of 4668 and 4676 is 5456892.

2. What are the Factors of 4668?

Answer: Factors of 4668 are 1, 2, 3, 4, 6, 12, 389, 778, 1167, 1556, 2334, 4668. There are 12 integers that are factors of 4668. The greatest factor of 4668 is 4668.

3. 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.

4. How to Find the LCM of 4668 and 4676?

Answer:

Least Common Multiple of 4668 and 4676 = 5456892

Step 1: Find the prime factorization of 4668

4668 = 2 x 2 x 3 x 389

Step 2: Find the prime factorization of 4676

4676 = 2 x 2 x 7 x 167

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

LCM = 5456892 = 2 x 2 x 3 x 7 x 167 x 389

Step 4: Therefore, the least common multiple of 4668 and 4676 is 5456892.