Least Common Multiple of 7723 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 7723 and 7731 the smallest integer that is 59706513 that is divisible by both numbers.

Least Common Multiple (LCM) of 7723 and 7731 is 59706513.

LCM(7723,7731) = 59706513

LCM of 7723 and 7731

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

LCM of:
and

Least Common Multiple of 7723 and 7731

LCM of 7723 and 7731 is 59706513

Least common multiple can be found by multiplying the highest exponent prime factors of 7723 and 7731. First we will calculate the prime factors of 7723 and 7731.

Prime Factorization of 7723


7723 7723
1

Prime factors of 7723 are 7723. Prime factorization of 7723 in exponential form is:

7723 = 77231

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 7723 and 7731.

LCM(7723,7731) = 32×8591×77231
LCM(7723,7731) = 59706513

Factors of 7723

List of positive integer factors of 7723 that divides 7723 without a remainder.

1, 7723

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 7723 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 7723 and 7731, than apply into the LCM equation.

GCF(7723,7731) = 1
LCM(7723,7731) = ( 7723 × 7731) / 1
LCM(7723,7731) = 59706513 / 1
LCM(7723,7731) = 59706513

Properties of LCM 7723 and 7731

(i) The LCM of 7731 and 7723 is associative

LCM of 7723 and 7731 = LCM of 7731 and 7723

Related Least Common Multiples of 7723

Related Least Common Multiples of 7731

Frequently Asked Questions on LCM of 7723 and 7731

1. What is the LCM of 7723 and 7731?

Answer: LCM of 7723 and 7731 is 59706513.

2. What are the Factors of 7723?

Answer: Factors of 7723 are 1, 7723. There are 2 integers that are factors of 7723. The greatest factor of 7723 is 7723.

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 7723 and 7731?

Answer:

Least Common Multiple of 7723 and 7731 = 59706513

Step 1: Find the prime factorization of 7723

7723 = 7723

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 = 59706513 = 3 x 3 x 859 x 7723

Step 4: Therefore, the least common multiple of 7723 and 7731 is 59706513.