Least Common Multiple of 4680 and 4684

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 4684 the smallest integer that is 5480280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4680 and 4684 is 5480280.

LCM(4680,4684) = 5480280

LCM of 4680 and 4684

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

LCM of:
and

Least Common Multiple of 4680 and 4684

LCM of 4680 and 4684 is 5480280

Least common multiple can be found by multiplying the highest exponent prime factors of 4680 and 4684. First we will calculate the prime factors of 4680 and 4684.

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 4684


2 4684
2 2342
1171 1171
1

Prime factors of 4684 are 2,1171. Prime factorization of 4684 in exponential form is:

4684 = 22×11711

Now multiplying the highest exponent prime factors to calculate the LCM of 4680 and 4684.

LCM(4680,4684) = 23×32×51×131×11711
LCM(4680,4684) = 5480280

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 4684

List of positive integer factors of 4684 that divides 4684 without a remainder.

1, 2, 4, 1171, 2342, 4684

Least Common Multiple of 4680 and 4684 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 4684, than apply into the LCM equation.

GCF(4680,4684) = 4
LCM(4680,4684) = ( 4680 × 4684) / 4
LCM(4680,4684) = 21921120 / 4
LCM(4680,4684) = 5480280

Properties of LCM 4680 and 4684

(i) The LCM of 4684 and 4680 is associative

LCM of 4680 and 4684 = LCM of 4684 and 4680

Related Least Common Multiples of 4680

Related Least Common Multiples of 4684

Frequently Asked Questions on LCM of 4680 and 4684

1. What is the LCM of 4680 and 4684?

Answer: LCM of 4680 and 4684 is 5480280.

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 4684?

Answer: Factors of 4684 are 1, 2, 4, 1171, 2342, 4684. There are 6 integers that are factors of 4684. The greatest factor of 4684 is 4684.

4. How to Find the LCM of 4680 and 4684?

Answer:

Least Common Multiple of 4680 and 4684 = 5480280

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 4684

4684 = 2 x 2 x 1171

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

LCM = 5480280 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 1171

Step 4: Therefore, the least common multiple of 4680 and 4684 is 5480280.