Least Common Multiple of 4680 and 4686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4680 and 4686 the smallest integer that is 3655080 that is divisible by both numbers.

Least Common Multiple (LCM) of 4680 and 4686 is 3655080.

LCM(4680,4686) = 3655080

LCM of 4680 and 4686

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

LCM of:
and

Least Common Multiple of 4680 and 4686

LCM of 4680 and 4686 is 3655080

Least common multiple can be found by multiplying the highest exponent prime factors of 4680 and 4686. First we will calculate the prime factors of 4680 and 4686.

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

Prime Factorization of 4686


2 4686
3 2343
11 781
71 71
1

Prime factors of 4686 are 2, 3, 11,71. Prime factorization of 4686 in exponential form is:

4686 = 21×31×111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 4680 and 4686.

LCM(4680,4686) = 23×32×51×111×131×711
LCM(4680,4686) = 3655080

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

Factors of 4686

List of positive integer factors of 4686 that divides 4686 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686

Least Common Multiple of 4680 and 4686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4680 and 4686, than apply into the LCM equation.

GCF(4680,4686) = 6
LCM(4680,4686) = ( 4680 × 4686) / 6
LCM(4680,4686) = 21930480 / 6
LCM(4680,4686) = 3655080

Properties of LCM 4680 and 4686

(i) The LCM of 4686 and 4680 is associative

LCM of 4680 and 4686 = LCM of 4686 and 4680

Related Least Common Multiples of 4680

Related Least Common Multiples of 4686

Frequently Asked Questions on LCM of 4680 and 4686

1. What is the LCM of 4680 and 4686?

Answer: LCM of 4680 and 4686 is 3655080.

2. 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.

3. What are the Factors of 4686?

Answer: Factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686. There are 16 integers that are factors of 4686. The greatest factor of 4686 is 4686.

4. How to Find the LCM of 4680 and 4686?

Answer:

Least Common Multiple of 4680 and 4686 = 3655080

Step 1: Find the prime factorization of 4680

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

Step 2: Find the prime factorization of 4686

4686 = 2 x 3 x 11 x 71

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

LCM = 3655080 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 13 x 71

Step 4: Therefore, the least common multiple of 4680 and 4686 is 3655080.