Least Common Multiple of 7731 and 7737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7731 and 7737 the smallest integer that is 19938249 that is divisible by both numbers.

Least Common Multiple (LCM) of 7731 and 7737 is 19938249.

LCM(7731,7737) = 19938249

LCM of 7731 and 7737

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

LCM of:
and

Least Common Multiple of 7731 and 7737

LCM of 7731 and 7737 is 19938249

Least common multiple can be found by multiplying the highest exponent prime factors of 7731 and 7737. First we will calculate the prime factors of 7731 and 7737.

Prime Factorization of 7731


3 7731
3 2577
859 859
1

Prime factors of 7731 are 3,859. Prime factorization of 7731 in exponential form is:

7731 = 32×8591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7731 and 7737.

LCM(7731,7737) = 32×8591×25791
LCM(7731,7737) = 19938249

Factors of 7731

List of positive integer factors of 7731 that divides 7731 without a remainder.

1, 3, 9, 859, 2577, 7731

Factors of 7737

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

1, 3, 2579, 7737

Least Common Multiple of 7731 and 7737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7731 and 7737, than apply into the LCM equation.

GCF(7731,7737) = 3
LCM(7731,7737) = ( 7731 × 7737) / 3
LCM(7731,7737) = 59814747 / 3
LCM(7731,7737) = 19938249

Properties of LCM 7731 and 7737

(i) The LCM of 7737 and 7731 is associative

LCM of 7731 and 7737 = LCM of 7737 and 7731

Related Least Common Multiples of 7731

Related Least Common Multiples of 7737

Frequently Asked Questions on LCM of 7731 and 7737

1. What is the LCM of 7731 and 7737?

Answer: LCM of 7731 and 7737 is 19938249.

2. What are the Factors of 7731?

Answer: Factors of 7731 are 1, 3, 9, 859, 2577, 7731. There are 6 integers that are factors of 7731. The greatest factor of 7731 is 7731.

3. 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.

4. How to Find the LCM of 7731 and 7737?

Answer:

Least Common Multiple of 7731 and 7737 = 19938249

Step 1: Find the prime factorization of 7731

7731 = 3 x 3 x 859

Step 2: Find the prime factorization of 7737

7737 = 3 x 2579

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

LCM = 19938249 = 3 x 3 x 859 x 2579

Step 4: Therefore, the least common multiple of 7731 and 7737 is 19938249.