Least Common Multiple of 7723 and 7729

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 7729 the smallest integer that is 59691067 that is divisible by both numbers.

Least Common Multiple (LCM) of 7723 and 7729 is 59691067.

LCM(7723,7729) = 59691067

LCM of 7723 and 7729

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

LCM of:
and

Least Common Multiple of 7723 and 7729

LCM of 7723 and 7729 is 59691067

Least common multiple can be found by multiplying the highest exponent prime factors of 7723 and 7729. First we will calculate the prime factors of 7723 and 7729.

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 7729


59 7729
131 131
1

Prime factors of 7729 are 59,131. Prime factorization of 7729 in exponential form is:

7729 = 591×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7723 and 7729.

LCM(7723,7729) = 591×1311×77231
LCM(7723,7729) = 59691067

Factors of 7723

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

1, 7723

Factors of 7729

List of positive integer factors of 7729 that divides 7729 without a remainder.

1, 59, 131, 7729

Least Common Multiple of 7723 and 7729 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 7729, than apply into the LCM equation.

GCF(7723,7729) = 1
LCM(7723,7729) = ( 7723 × 7729) / 1
LCM(7723,7729) = 59691067 / 1
LCM(7723,7729) = 59691067

Properties of LCM 7723 and 7729

(i) The LCM of 7729 and 7723 is associative

LCM of 7723 and 7729 = LCM of 7729 and 7723

Related Least Common Multiples of 7723

Related Least Common Multiples of 7729

Frequently Asked Questions on LCM of 7723 and 7729

1. What is the LCM of 7723 and 7729?

Answer: LCM of 7723 and 7729 is 59691067.

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 7729?

Answer: Factors of 7729 are 1, 59, 131, 7729. There are 4 integers that are factors of 7729. The greatest factor of 7729 is 7729.

4. How to Find the LCM of 7723 and 7729?

Answer:

Least Common Multiple of 7723 and 7729 = 59691067

Step 1: Find the prime factorization of 7723

7723 = 7723

Step 2: Find the prime factorization of 7729

7729 = 59 x 131

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

LCM = 59691067 = 59 x 131 x 7723

Step 4: Therefore, the least common multiple of 7723 and 7729 is 59691067.