Least Common Multiple of 7676 and 7680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7676 and 7680 the smallest integer that is 14737920 that is divisible by both numbers.

Least Common Multiple (LCM) of 7676 and 7680 is 14737920.

LCM(7676,7680) = 14737920

LCM of 7676 and 7680

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

LCM of:
and

Least Common Multiple of 7676 and 7680

LCM of 7676 and 7680 is 14737920

Least common multiple can be found by multiplying the highest exponent prime factors of 7676 and 7680. First we will calculate the prime factors of 7676 and 7680.

Prime Factorization of 7676


2 7676
2 3838
19 1919
101 101
1

Prime factors of 7676 are 2, 19,101. Prime factorization of 7676 in exponential form is:

7676 = 22×191×1011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7676 and 7680.

LCM(7676,7680) = 29×31×51×191×1011
LCM(7676,7680) = 14737920

Factors of 7676

List of positive integer factors of 7676 that divides 7676 without a remainder.

1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676

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

Least Common Multiple of 7676 and 7680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7676 and 7680, than apply into the LCM equation.

GCF(7676,7680) = 4
LCM(7676,7680) = ( 7676 × 7680) / 4
LCM(7676,7680) = 58951680 / 4
LCM(7676,7680) = 14737920

Properties of LCM 7676 and 7680

(i) The LCM of 7680 and 7676 is associative

LCM of 7676 and 7680 = LCM of 7680 and 7676

Related Least Common Multiples of 7676

Related Least Common Multiples of 7680

Frequently Asked Questions on LCM of 7676 and 7680

1. What is the LCM of 7676 and 7680?

Answer: LCM of 7676 and 7680 is 14737920.

2. What are the Factors of 7676?

Answer: Factors of 7676 are 1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676. There are 12 integers that are factors of 7676. The greatest factor of 7676 is 7676.

3. 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.

4. How to Find the LCM of 7676 and 7680?

Answer:

Least Common Multiple of 7676 and 7680 = 14737920

Step 1: Find the prime factorization of 7676

7676 = 2 x 2 x 19 x 101

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 14737920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19 x 101

Step 4: Therefore, the least common multiple of 7676 and 7680 is 14737920.