Least Common Multiple of 7680 and 7688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7680 and 7688 the smallest integer that is 7380480 that is divisible by both numbers.

Least Common Multiple (LCM) of 7680 and 7688 is 7380480.

LCM(7680,7688) = 7380480

LCM of 7680 and 7688

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

LCM of:
and

Least Common Multiple of 7680 and 7688

LCM of 7680 and 7688 is 7380480

Least common multiple can be found by multiplying the highest exponent prime factors of 7680 and 7688. First we will calculate the prime factors of 7680 and 7688.

Prime Factorization of 7680


2 7680
2 3840
2 1920
2 960
2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 7680 are 2, 3,5. Prime factorization of 7680 in exponential form is:

7680 = 29×31×51

Prime Factorization of 7688


2 7688
2 3844
2 1922
31 961
31 31
1

Prime factors of 7688 are 2,31. Prime factorization of 7688 in exponential form is:

7688 = 23×312

Now multiplying the highest exponent prime factors to calculate the LCM of 7680 and 7688.

LCM(7680,7688) = 29×31×51×312
LCM(7680,7688) = 7380480

Factors of 7680

List of positive integer factors of 7680 that divides 7680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680

Factors of 7688

List of positive integer factors of 7688 that divides 7688 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688

Least Common Multiple of 7680 and 7688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7680 and 7688, than apply into the LCM equation.

GCF(7680,7688) = 8
LCM(7680,7688) = ( 7680 × 7688) / 8
LCM(7680,7688) = 59043840 / 8
LCM(7680,7688) = 7380480

Properties of LCM 7680 and 7688

(i) The LCM of 7688 and 7680 is associative

LCM of 7680 and 7688 = LCM of 7688 and 7680

Related Least Common Multiples of 7680

Related Least Common Multiples of 7688

Frequently Asked Questions on LCM of 7680 and 7688

1. What is the LCM of 7680 and 7688?

Answer: LCM of 7680 and 7688 is 7380480.

2. What are the Factors of 7680?

Answer: Factors of 7680 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 128, 160, 192, 240, 256, 320, 384, 480, 512, 640, 768, 960, 1280, 1536, 1920, 2560, 3840, 7680. There are 40 integers that are factors of 7680. The greatest factor of 7680 is 7680.

3. What are the Factors of 7688?

Answer: Factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688. There are 12 integers that are factors of 7688. The greatest factor of 7688 is 7688.

4. How to Find the LCM of 7680 and 7688?

Answer:

Least Common Multiple of 7680 and 7688 = 7380480

Step 1: Find the prime factorization of 7680

7680 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 7688

7688 = 2 x 2 x 2 x 31 x 31

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

LCM = 7380480 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 31 x 31

Step 4: Therefore, the least common multiple of 7680 and 7688 is 7380480.