Least Common Multiple of 7744 and 7750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7744 and 7750 the smallest integer that is 30008000 that is divisible by both numbers.

Least Common Multiple (LCM) of 7744 and 7750 is 30008000.

LCM(7744,7750) = 30008000

LCM of 7744 and 7750

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

LCM of:
and

Least Common Multiple of 7744 and 7750

LCM of 7744 and 7750 is 30008000

Least common multiple can be found by multiplying the highest exponent prime factors of 7744 and 7750. First we will calculate the prime factors of 7744 and 7750.

Prime Factorization of 7744


2 7744
2 3872
2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 7744 are 2,11. Prime factorization of 7744 in exponential form is:

7744 = 26×112

Prime Factorization of 7750


2 7750
5 3875
5 775
5 155
31 31
1

Prime factors of 7750 are 2, 5,31. Prime factorization of 7750 in exponential form is:

7750 = 21×53×311

Now multiplying the highest exponent prime factors to calculate the LCM of 7744 and 7750.

LCM(7744,7750) = 26×53×112×311
LCM(7744,7750) = 30008000

Factors of 7744

List of positive integer factors of 7744 that divides 7744 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744

Factors of 7750

List of positive integer factors of 7750 that divides 7750 without a remainder.

1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 775, 1550, 3875, 7750

Least Common Multiple of 7744 and 7750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7744 and 7750, than apply into the LCM equation.

GCF(7744,7750) = 2
LCM(7744,7750) = ( 7744 × 7750) / 2
LCM(7744,7750) = 60016000 / 2
LCM(7744,7750) = 30008000

Properties of LCM 7744 and 7750

(i) The LCM of 7750 and 7744 is associative

LCM of 7744 and 7750 = LCM of 7750 and 7744

Related Least Common Multiples of 7744

Related Least Common Multiples of 7750

Frequently Asked Questions on LCM of 7744 and 7750

1. What is the LCM of 7744 and 7750?

Answer: LCM of 7744 and 7750 is 30008000.

2. What are the Factors of 7744?

Answer: Factors of 7744 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1936, 3872, 7744. There are 21 integers that are factors of 7744. The greatest factor of 7744 is 7744.

3. What are the Factors of 7750?

Answer: Factors of 7750 are 1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 775, 1550, 3875, 7750. There are 16 integers that are factors of 7750. The greatest factor of 7750 is 7750.

4. How to Find the LCM of 7744 and 7750?

Answer:

Least Common Multiple of 7744 and 7750 = 30008000

Step 1: Find the prime factorization of 7744

7744 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 7750

7750 = 2 x 5 x 5 x 5 x 31

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

LCM = 30008000 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 11 x 11 x 31

Step 4: Therefore, the least common multiple of 7744 and 7750 is 30008000.