Least Common Multiple of 7700 and 7706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7700 and 7706 the smallest integer that is 29668100 that is divisible by both numbers.

Least Common Multiple (LCM) of 7700 and 7706 is 29668100.

LCM(7700,7706) = 29668100

LCM of 7700 and 7706

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

LCM of:
and

Least Common Multiple of 7700 and 7706

LCM of 7700 and 7706 is 29668100

Least common multiple can be found by multiplying the highest exponent prime factors of 7700 and 7706. First we will calculate the prime factors of 7700 and 7706.

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

Prime Factorization of 7706


2 7706
3853 3853
1

Prime factors of 7706 are 2,3853. Prime factorization of 7706 in exponential form is:

7706 = 21×38531

Now multiplying the highest exponent prime factors to calculate the LCM of 7700 and 7706.

LCM(7700,7706) = 22×52×71×111×38531
LCM(7700,7706) = 29668100

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

Factors of 7706

List of positive integer factors of 7706 that divides 7706 without a remainder.

1, 2, 3853, 7706

Least Common Multiple of 7700 and 7706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7700 and 7706, than apply into the LCM equation.

GCF(7700,7706) = 2
LCM(7700,7706) = ( 7700 × 7706) / 2
LCM(7700,7706) = 59336200 / 2
LCM(7700,7706) = 29668100

Properties of LCM 7700 and 7706

(i) The LCM of 7706 and 7700 is associative

LCM of 7700 and 7706 = LCM of 7706 and 7700

Related Least Common Multiples of 7700

Related Least Common Multiples of 7706

Frequently Asked Questions on LCM of 7700 and 7706

1. What is the LCM of 7700 and 7706?

Answer: LCM of 7700 and 7706 is 29668100.

2. 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.

3. What are the Factors of 7706?

Answer: Factors of 7706 are 1, 2, 3853, 7706. There are 4 integers that are factors of 7706. The greatest factor of 7706 is 7706.

4. How to Find the LCM of 7700 and 7706?

Answer:

Least Common Multiple of 7700 and 7706 = 29668100

Step 1: Find the prime factorization of 7700

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

Step 2: Find the prime factorization of 7706

7706 = 2 x 3853

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

LCM = 29668100 = 2 x 2 x 5 x 5 x 7 x 11 x 3853

Step 4: Therefore, the least common multiple of 7700 and 7706 is 29668100.