Least Common Multiple of 7744 and 7752

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 7752 the smallest integer that is 7503936 that is divisible by both numbers.

Least Common Multiple (LCM) of 7744 and 7752 is 7503936.

LCM(7744,7752) = 7503936

LCM of 7744 and 7752

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

LCM of:
and

Least Common Multiple of 7744 and 7752

LCM of 7744 and 7752 is 7503936

Least common multiple can be found by multiplying the highest exponent prime factors of 7744 and 7752. First we will calculate the prime factors of 7744 and 7752.

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 7752


2 7752
2 3876
2 1938
3 969
17 323
19 19
1

Prime factors of 7752 are 2, 3, 17,19. Prime factorization of 7752 in exponential form is:

7752 = 23×31×171×191

Now multiplying the highest exponent prime factors to calculate the LCM of 7744 and 7752.

LCM(7744,7752) = 26×31×112×171×191
LCM(7744,7752) = 7503936

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 7752

List of positive integer factors of 7752 that divides 7752 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752

Least Common Multiple of 7744 and 7752 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 7752, than apply into the LCM equation.

GCF(7744,7752) = 8
LCM(7744,7752) = ( 7744 × 7752) / 8
LCM(7744,7752) = 60031488 / 8
LCM(7744,7752) = 7503936

Properties of LCM 7744 and 7752

(i) The LCM of 7752 and 7744 is associative

LCM of 7744 and 7752 = LCM of 7752 and 7744

Related Least Common Multiples of 7744

Related Least Common Multiples of 7752

Frequently Asked Questions on LCM of 7744 and 7752

1. What is the LCM of 7744 and 7752?

Answer: LCM of 7744 and 7752 is 7503936.

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 7752?

Answer: Factors of 7752 are 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752. There are 32 integers that are factors of 7752. The greatest factor of 7752 is 7752.

4. How to Find the LCM of 7744 and 7752?

Answer:

Least Common Multiple of 7744 and 7752 = 7503936

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 7752

7752 = 2 x 2 x 2 x 3 x 17 x 19

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

LCM = 7503936 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 x 17 x 19

Step 4: Therefore, the least common multiple of 7744 and 7752 is 7503936.