Least Common Multiple of 7740 and 7744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7740 and 7744 the smallest integer that is 14984640 that is divisible by both numbers.

Least Common Multiple (LCM) of 7740 and 7744 is 14984640.

LCM(7740,7744) = 14984640

LCM of 7740 and 7744

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

LCM of:
and

Least Common Multiple of 7740 and 7744

LCM of 7740 and 7744 is 14984640

Least common multiple can be found by multiplying the highest exponent prime factors of 7740 and 7744. First we will calculate the prime factors of 7740 and 7744.

Prime Factorization of 7740


2 7740
2 3870
3 1935
3 645
5 215
43 43
1

Prime factors of 7740 are 2, 3, 5,43. Prime factorization of 7740 in exponential form is:

7740 = 22×32×51×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7740 and 7744.

LCM(7740,7744) = 26×32×51×112×431
LCM(7740,7744) = 14984640

Factors of 7740

List of positive integer factors of 7740 that divides 7740 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740

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

Least Common Multiple of 7740 and 7744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7740 and 7744, than apply into the LCM equation.

GCF(7740,7744) = 4
LCM(7740,7744) = ( 7740 × 7744) / 4
LCM(7740,7744) = 59938560 / 4
LCM(7740,7744) = 14984640

Properties of LCM 7740 and 7744

(i) The LCM of 7744 and 7740 is associative

LCM of 7740 and 7744 = LCM of 7744 and 7740

Related Least Common Multiples of 7740

Related Least Common Multiples of 7744

Frequently Asked Questions on LCM of 7740 and 7744

1. What is the LCM of 7740 and 7744?

Answer: LCM of 7740 and 7744 is 14984640.

2. What are the Factors of 7740?

Answer: Factors of 7740 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 43, 45, 60, 86, 90, 129, 172, 180, 215, 258, 387, 430, 516, 645, 774, 860, 1290, 1548, 1935, 2580, 3870, 7740. There are 36 integers that are factors of 7740. The greatest factor of 7740 is 7740.

3. 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.

4. How to Find the LCM of 7740 and 7744?

Answer:

Least Common Multiple of 7740 and 7744 = 14984640

Step 1: Find the prime factorization of 7740

7740 = 2 x 2 x 3 x 3 x 5 x 43

Step 2: Find the prime factorization of 7744

7744 = 2 x 2 x 2 x 2 x 2 x 2 x 11 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 = 14984640 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 11 x 43

Step 4: Therefore, the least common multiple of 7740 and 7744 is 14984640.