Least Common Multiple of 7699 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 7699 and 7700 the smallest integer that is 59282300 that is divisible by both numbers.

Least Common Multiple (LCM) of 7699 and 7700 is 59282300.

LCM(7699,7700) = 59282300

LCM of 7699 and 7700

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

LCM of:
and

Least Common Multiple of 7699 and 7700

LCM of 7699 and 7700 is 59282300

Least common multiple can be found by multiplying the highest exponent prime factors of 7699 and 7700. First we will calculate the prime factors of 7699 and 7700.

Prime Factorization of 7699


7699 7699
1

Prime factors of 7699 are 7699. Prime factorization of 7699 in exponential form is:

7699 = 76991

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 7699 and 7700.

LCM(7699,7700) = 22×52×71×111×76991
LCM(7699,7700) = 59282300

Factors of 7699

List of positive integer factors of 7699 that divides 7699 without a remainder.

1, 7699

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 7699 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 7699 and 7700, than apply into the LCM equation.

GCF(7699,7700) = 1
LCM(7699,7700) = ( 7699 × 7700) / 1
LCM(7699,7700) = 59282300 / 1
LCM(7699,7700) = 59282300

Properties of LCM 7699 and 7700

(i) The LCM of 7700 and 7699 is associative

LCM of 7699 and 7700 = LCM of 7700 and 7699

Related Least Common Multiples of 7699

Related Least Common Multiples of 7700

Frequently Asked Questions on LCM of 7699 and 7700

1. What is the LCM of 7699 and 7700?

Answer: LCM of 7699 and 7700 is 59282300.

2. What are the Factors of 7699?

Answer: Factors of 7699 are 1, 7699. There are 2 integers that are factors of 7699. The greatest factor of 7699 is 7699.

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 7699 and 7700?

Answer:

Least Common Multiple of 7699 and 7700 = 59282300

Step 1: Find the prime factorization of 7699

7699 = 7699

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 = 59282300 = 2 x 2 x 5 x 5 x 7 x 11 x 7699

Step 4: Therefore, the least common multiple of 7699 and 7700 is 59282300.