Least Common Multiple of 7737 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 7737 and 7744 the smallest integer that is 59915328 that is divisible by both numbers.

Least Common Multiple (LCM) of 7737 and 7744 is 59915328.

LCM(7737,7744) = 59915328

LCM of 7737 and 7744

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

LCM of:
and

Least Common Multiple of 7737 and 7744

LCM of 7737 and 7744 is 59915328

Least common multiple can be found by multiplying the highest exponent prime factors of 7737 and 7744. First we will calculate the prime factors of 7737 and 7744.

Prime Factorization of 7737


3 7737
2579 2579
1

Prime factors of 7737 are 3,2579. Prime factorization of 7737 in exponential form is:

7737 = 31×25791

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 7737 and 7744.

LCM(7737,7744) = 26×31×112×25791
LCM(7737,7744) = 59915328

Factors of 7737

List of positive integer factors of 7737 that divides 7737 without a remainder.

1, 3, 2579, 7737

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 7737 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 7737 and 7744, than apply into the LCM equation.

GCF(7737,7744) = 1
LCM(7737,7744) = ( 7737 × 7744) / 1
LCM(7737,7744) = 59915328 / 1
LCM(7737,7744) = 59915328

Properties of LCM 7737 and 7744

(i) The LCM of 7744 and 7737 is associative

LCM of 7737 and 7744 = LCM of 7744 and 7737

Related Least Common Multiples of 7737

Related Least Common Multiples of 7744

Frequently Asked Questions on LCM of 7737 and 7744

1. What is the LCM of 7737 and 7744?

Answer: LCM of 7737 and 7744 is 59915328.

2. What are the Factors of 7737?

Answer: Factors of 7737 are 1, 3, 2579, 7737. There are 4 integers that are factors of 7737. The greatest factor of 7737 is 7737.

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 7737 and 7744?

Answer:

Least Common Multiple of 7737 and 7744 = 59915328

Step 1: Find the prime factorization of 7737

7737 = 3 x 2579

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 = 59915328 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 11 x 2579

Step 4: Therefore, the least common multiple of 7737 and 7744 is 59915328.