Least Common Multiple of 7694 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 7694 and 7700 the smallest integer that is 29621900 that is divisible by both numbers.

Least Common Multiple (LCM) of 7694 and 7700 is 29621900.

LCM(7694,7700) = 29621900

LCM of 7694 and 7700

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

LCM of:
and

Least Common Multiple of 7694 and 7700

LCM of 7694 and 7700 is 29621900

Least common multiple can be found by multiplying the highest exponent prime factors of 7694 and 7700. First we will calculate the prime factors of 7694 and 7700.

Prime Factorization of 7694


2 7694
3847 3847
1

Prime factors of 7694 are 2,3847. Prime factorization of 7694 in exponential form is:

7694 = 21×38471

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 7694 and 7700.

LCM(7694,7700) = 22×52×71×111×38471
LCM(7694,7700) = 29621900

Factors of 7694

List of positive integer factors of 7694 that divides 7694 without a remainder.

1, 2, 3847, 7694

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 7694 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 7694 and 7700, than apply into the LCM equation.

GCF(7694,7700) = 2
LCM(7694,7700) = ( 7694 × 7700) / 2
LCM(7694,7700) = 59243800 / 2
LCM(7694,7700) = 29621900

Properties of LCM 7694 and 7700

(i) The LCM of 7700 and 7694 is associative

LCM of 7694 and 7700 = LCM of 7700 and 7694

Related Least Common Multiples of 7694

Related Least Common Multiples of 7700

Frequently Asked Questions on LCM of 7694 and 7700

1. What is the LCM of 7694 and 7700?

Answer: LCM of 7694 and 7700 is 29621900.

2. What are the Factors of 7694?

Answer: Factors of 7694 are 1, 2, 3847, 7694. There are 4 integers that are factors of 7694. The greatest factor of 7694 is 7694.

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 7694 and 7700?

Answer:

Least Common Multiple of 7694 and 7700 = 29621900

Step 1: Find the prime factorization of 7694

7694 = 2 x 3847

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 = 29621900 = 2 x 2 x 5 x 5 x 7 x 11 x 3847

Step 4: Therefore, the least common multiple of 7694 and 7700 is 29621900.