Least Common Multiple of 4676 and 4680

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 4680 the smallest integer that is 5470920 that is divisible by both numbers.

Least Common Multiple (LCM) of 4676 and 4680 is 5470920.

LCM(4676,4680) = 5470920

LCM of 4676 and 4680

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

LCM of:
and

Least Common Multiple of 4676 and 4680

LCM of 4676 and 4680 is 5470920

Least common multiple can be found by multiplying the highest exponent prime factors of 4676 and 4680. First we will calculate the prime factors of 4676 and 4680.

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 4680


2 4680
2 2340
2 1170
3 585
3 195
5 65
13 13
1

Prime factors of 4680 are 2, 3, 5,13. Prime factorization of 4680 in exponential form is:

4680 = 23×32×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4676 and 4680.

LCM(4676,4680) = 23×32×51×71×131×1671
LCM(4676,4680) = 5470920

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 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680

Least Common Multiple of 4676 and 4680 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 4680, than apply into the LCM equation.

GCF(4676,4680) = 4
LCM(4676,4680) = ( 4676 × 4680) / 4
LCM(4676,4680) = 21883680 / 4
LCM(4676,4680) = 5470920

Properties of LCM 4676 and 4680

(i) The LCM of 4680 and 4676 is associative

LCM of 4676 and 4680 = LCM of 4680 and 4676

Related Least Common Multiples of 4676

Related Least Common Multiples of 4680

Frequently Asked Questions on LCM of 4676 and 4680

1. What is the LCM of 4676 and 4680?

Answer: LCM of 4676 and 4680 is 5470920.

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 4680?

Answer: Factors of 4680 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 26, 30, 36, 39, 40, 45, 52, 60, 65, 72, 78, 90, 104, 117, 120, 130, 156, 180, 195, 234, 260, 312, 360, 390, 468, 520, 585, 780, 936, 1170, 1560, 2340, 4680. There are 48 integers that are factors of 4680. The greatest factor of 4680 is 4680.

4. How to Find the LCM of 4676 and 4680?

Answer:

Least Common Multiple of 4676 and 4680 = 5470920

Step 1: Find the prime factorization of 4676

4676 = 2 x 2 x 7 x 167

Step 2: Find the prime factorization of 4680

4680 = 2 x 2 x 2 x 3 x 3 x 5 x 13

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

LCM = 5470920 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 167

Step 4: Therefore, the least common multiple of 4676 and 4680 is 5470920.