Least Common Multiple of 7724 and 7731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7724 and 7731 the smallest integer that is 59714244 that is divisible by both numbers.

Least Common Multiple (LCM) of 7724 and 7731 is 59714244.

LCM(7724,7731) = 59714244

LCM of 7724 and 7731

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

LCM of:
and

Least Common Multiple of 7724 and 7731

LCM of 7724 and 7731 is 59714244

Least common multiple can be found by multiplying the highest exponent prime factors of 7724 and 7731. First we will calculate the prime factors of 7724 and 7731.

Prime Factorization of 7724


2 7724
2 3862
1931 1931
1

Prime factors of 7724 are 2,1931. Prime factorization of 7724 in exponential form is:

7724 = 22×19311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7724 and 7731.

LCM(7724,7731) = 22×32×8591×19311
LCM(7724,7731) = 59714244

Factors of 7724

List of positive integer factors of 7724 that divides 7724 without a remainder.

1, 2, 4, 1931, 3862, 7724

Factors of 7731

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

1, 3, 9, 859, 2577, 7731

Least Common Multiple of 7724 and 7731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7724 and 7731, than apply into the LCM equation.

GCF(7724,7731) = 1
LCM(7724,7731) = ( 7724 × 7731) / 1
LCM(7724,7731) = 59714244 / 1
LCM(7724,7731) = 59714244

Properties of LCM 7724 and 7731

(i) The LCM of 7731 and 7724 is associative

LCM of 7724 and 7731 = LCM of 7731 and 7724

Related Least Common Multiples of 7724

Related Least Common Multiples of 7731

Frequently Asked Questions on LCM of 7724 and 7731

1. What is the LCM of 7724 and 7731?

Answer: LCM of 7724 and 7731 is 59714244.

2. What are the Factors of 7724?

Answer: Factors of 7724 are 1, 2, 4, 1931, 3862, 7724. There are 6 integers that are factors of 7724. The greatest factor of 7724 is 7724.

3. 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.

4. How to Find the LCM of 7724 and 7731?

Answer:

Least Common Multiple of 7724 and 7731 = 59714244

Step 1: Find the prime factorization of 7724

7724 = 2 x 2 x 1931

Step 2: Find the prime factorization of 7731

7731 = 3 x 3 x 859

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

LCM = 59714244 = 2 x 2 x 3 x 3 x 859 x 1931

Step 4: Therefore, the least common multiple of 7724 and 7731 is 59714244.