Least Common Multiple of 7696 and 7700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7696 and 7700 the smallest integer that is 14814800 that is divisible by both numbers.

Least Common Multiple (LCM) of 7696 and 7700 is 14814800.

LCM(7696,7700) = 14814800

LCM of 7696 and 7700

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

LCM of:
and

Least Common Multiple of 7696 and 7700

LCM of 7696 and 7700 is 14814800

Least common multiple can be found by multiplying the highest exponent prime factors of 7696 and 7700. First we will calculate the prime factors of 7696 and 7700.

Prime Factorization of 7696


2 7696
2 3848
2 1924
2 962
13 481
37 37
1

Prime factors of 7696 are 2, 13,37. Prime factorization of 7696 in exponential form is:

7696 = 24×131×371

Prime Factorization of 7700


2 7700
2 3850
5 1925
5 385
7 77
11 11
1

Prime factors of 7700 are 2, 5, 7,11. Prime factorization of 7700 in exponential form is:

7700 = 22×52×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 7696 and 7700.

LCM(7696,7700) = 24×52×71×111×131×371
LCM(7696,7700) = 14814800

Factors of 7696

List of positive integer factors of 7696 that divides 7696 without a remainder.

1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696

Factors of 7700

List of positive integer factors of 7700 that divides 7700 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 140, 154, 175, 220, 275, 308, 350, 385, 550, 700, 770, 1100, 1540, 1925, 3850, 7700

Least Common Multiple of 7696 and 7700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7696 and 7700, than apply into the LCM equation.

GCF(7696,7700) = 4
LCM(7696,7700) = ( 7696 × 7700) / 4
LCM(7696,7700) = 59259200 / 4
LCM(7696,7700) = 14814800

Properties of LCM 7696 and 7700

(i) The LCM of 7700 and 7696 is associative

LCM of 7696 and 7700 = LCM of 7700 and 7696

Related Least Common Multiples of 7696

Related Least Common Multiples of 7700

Frequently Asked Questions on LCM of 7696 and 7700

1. What is the LCM of 7696 and 7700?

Answer: LCM of 7696 and 7700 is 14814800.

2. What are the Factors of 7696?

Answer: Factors of 7696 are 1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696. There are 20 integers that are factors of 7696. The greatest factor of 7696 is 7696.

3. What are the Factors of 7700?

Answer: Factors of 7700 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 140, 154, 175, 220, 275, 308, 350, 385, 550, 700, 770, 1100, 1540, 1925, 3850, 7700. There are 36 integers that are factors of 7700. The greatest factor of 7700 is 7700.

4. How to Find the LCM of 7696 and 7700?

Answer:

Least Common Multiple of 7696 and 7700 = 14814800

Step 1: Find the prime factorization of 7696

7696 = 2 x 2 x 2 x 2 x 13 x 37

Step 2: Find the prime factorization of 7700

7700 = 2 x 2 x 5 x 5 x 7 x 11

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

LCM = 14814800 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 11 x 13 x 37

Step 4: Therefore, the least common multiple of 7696 and 7700 is 14814800.