Least Common Multiple of 5680 and 5688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5680 and 5688 the smallest integer that is 4038480 that is divisible by both numbers.

Least Common Multiple (LCM) of 5680 and 5688 is 4038480.

LCM(5680,5688) = 4038480

LCM of 5680 and 5688

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

LCM of:
and

Least Common Multiple of 5680 and 5688

LCM of 5680 and 5688 is 4038480

Least common multiple can be found by multiplying the highest exponent prime factors of 5680 and 5688. First we will calculate the prime factors of 5680 and 5688.

Prime Factorization of 5680


2 5680
2 2840
2 1420
2 710
5 355
71 71
1

Prime factors of 5680 are 2, 5,71. Prime factorization of 5680 in exponential form is:

5680 = 24×51×711

Prime Factorization of 5688


2 5688
2 2844
2 1422
3 711
3 237
79 79
1

Prime factors of 5688 are 2, 3,79. Prime factorization of 5688 in exponential form is:

5688 = 23×32×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5680 and 5688.

LCM(5680,5688) = 24×32×51×711×791
LCM(5680,5688) = 4038480

Factors of 5680

List of positive integer factors of 5680 that divides 5680 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688

Least Common Multiple of 5680 and 5688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5680 and 5688, than apply into the LCM equation.

GCF(5680,5688) = 8
LCM(5680,5688) = ( 5680 × 5688) / 8
LCM(5680,5688) = 32307840 / 8
LCM(5680,5688) = 4038480

Properties of LCM 5680 and 5688

(i) The LCM of 5688 and 5680 is associative

LCM of 5680 and 5688 = LCM of 5688 and 5680

Related Least Common Multiples of 5680

Related Least Common Multiples of 5688

Frequently Asked Questions on LCM of 5680 and 5688

1. What is the LCM of 5680 and 5688?

Answer: LCM of 5680 and 5688 is 4038480.

2. What are the Factors of 5680?

Answer: Factors of 5680 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 71, 80, 142, 284, 355, 568, 710, 1136, 1420, 2840, 5680. There are 20 integers that are factors of 5680. The greatest factor of 5680 is 5680.

3. What are the Factors of 5688?

Answer: Factors of 5688 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 79, 158, 237, 316, 474, 632, 711, 948, 1422, 1896, 2844, 5688. There are 24 integers that are factors of 5688. The greatest factor of 5688 is 5688.

4. How to Find the LCM of 5680 and 5688?

Answer:

Least Common Multiple of 5680 and 5688 = 4038480

Step 1: Find the prime factorization of 5680

5680 = 2 x 2 x 2 x 2 x 5 x 71

Step 2: Find the prime factorization of 5688

5688 = 2 x 2 x 2 x 3 x 3 x 79

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

LCM = 4038480 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 71 x 79

Step 4: Therefore, the least common multiple of 5680 and 5688 is 4038480.