Least Common Multiple of 4680 and 4688

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 4688 the smallest integer that is 2742480 that is divisible by both numbers.

Least Common Multiple (LCM) of 4680 and 4688 is 2742480.

LCM(4680,4688) = 2742480

LCM of 4680 and 4688

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

LCM of:
and

Least Common Multiple of 4680 and 4688

LCM of 4680 and 4688 is 2742480

Least common multiple can be found by multiplying the highest exponent prime factors of 4680 and 4688. First we will calculate the prime factors of 4680 and 4688.

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 4688


2 4688
2 2344
2 1172
2 586
293 293
1

Prime factors of 4688 are 2,293. Prime factorization of 4688 in exponential form is:

4688 = 24×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 4680 and 4688.

LCM(4680,4688) = 24×32×51×131×2931
LCM(4680,4688) = 2742480

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 4688

List of positive integer factors of 4688 that divides 4688 without a remainder.

1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688

Least Common Multiple of 4680 and 4688 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 4688, than apply into the LCM equation.

GCF(4680,4688) = 8
LCM(4680,4688) = ( 4680 × 4688) / 8
LCM(4680,4688) = 21939840 / 8
LCM(4680,4688) = 2742480

Properties of LCM 4680 and 4688

(i) The LCM of 4688 and 4680 is associative

LCM of 4680 and 4688 = LCM of 4688 and 4680

Related Least Common Multiples of 4680

Related Least Common Multiples of 4688

Frequently Asked Questions on LCM of 4680 and 4688

1. What is the LCM of 4680 and 4688?

Answer: LCM of 4680 and 4688 is 2742480.

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 4688?

Answer: Factors of 4688 are 1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688. There are 10 integers that are factors of 4688. The greatest factor of 4688 is 4688.

4. How to Find the LCM of 4680 and 4688?

Answer:

Least Common Multiple of 4680 and 4688 = 2742480

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 4688

4688 = 2 x 2 x 2 x 2 x 293

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

LCM = 2742480 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 13 x 293

Step 4: Therefore, the least common multiple of 4680 and 4688 is 2742480.