Least Common Multiple of 4669 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 4669 and 4676 the smallest integer that is 3118892 that is divisible by both numbers.

Least Common Multiple (LCM) of 4669 and 4676 is 3118892.

LCM(4669,4676) = 3118892

LCM of 4669 and 4676

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

LCM of:
and

Least Common Multiple of 4669 and 4676

LCM of 4669 and 4676 is 3118892

Least common multiple can be found by multiplying the highest exponent prime factors of 4669 and 4676. First we will calculate the prime factors of 4669 and 4676.

Prime Factorization of 4669


7 4669
23 667
29 29
1

Prime factors of 4669 are 7, 23,29. Prime factorization of 4669 in exponential form is:

4669 = 71×231×291

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 4669 and 4676.

LCM(4669,4676) = 22×71×231×291×1671
LCM(4669,4676) = 3118892

Factors of 4669

List of positive integer factors of 4669 that divides 4669 without a remainder.

1, 7, 23, 29, 161, 203, 667, 4669

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 4669 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 4669 and 4676, than apply into the LCM equation.

GCF(4669,4676) = 7
LCM(4669,4676) = ( 4669 × 4676) / 7
LCM(4669,4676) = 21832244 / 7
LCM(4669,4676) = 3118892

Properties of LCM 4669 and 4676

(i) The LCM of 4676 and 4669 is associative

LCM of 4669 and 4676 = LCM of 4676 and 4669

Related Least Common Multiples of 4669

Related Least Common Multiples of 4676

Frequently Asked Questions on LCM of 4669 and 4676

1. What is the LCM of 4669 and 4676?

Answer: LCM of 4669 and 4676 is 3118892.

2. What are the Factors of 4669?

Answer: Factors of 4669 are 1, 7, 23, 29, 161, 203, 667, 4669. There are 8 integers that are factors of 4669. The greatest factor of 4669 is 4669.

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 4669 and 4676?

Answer:

Least Common Multiple of 4669 and 4676 = 3118892

Step 1: Find the prime factorization of 4669

4669 = 7 x 23 x 29

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 = 3118892 = 2 x 2 x 7 x 23 x 29 x 167

Step 4: Therefore, the least common multiple of 4669 and 4676 is 3118892.