Least Common Multiple of 7729 and 7734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7729 and 7734 the smallest integer that is 59776086 that is divisible by both numbers.

Least Common Multiple (LCM) of 7729 and 7734 is 59776086.

LCM(7729,7734) = 59776086

LCM of 7729 and 7734

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

LCM of:
and

Least Common Multiple of 7729 and 7734

LCM of 7729 and 7734 is 59776086

Least common multiple can be found by multiplying the highest exponent prime factors of 7729 and 7734. First we will calculate the prime factors of 7729 and 7734.

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

Prime Factorization of 7734


2 7734
3 3867
1289 1289
1

Prime factors of 7734 are 2, 3,1289. Prime factorization of 7734 in exponential form is:

7734 = 21×31×12891

Now multiplying the highest exponent prime factors to calculate the LCM of 7729 and 7734.

LCM(7729,7734) = 21×31×591×1311×12891
LCM(7729,7734) = 59776086

Factors of 7729

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

1, 59, 131, 7729

Factors of 7734

List of positive integer factors of 7734 that divides 7734 without a remainder.

1, 2, 3, 6, 1289, 2578, 3867, 7734

Least Common Multiple of 7729 and 7734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7729 and 7734, than apply into the LCM equation.

GCF(7729,7734) = 1
LCM(7729,7734) = ( 7729 × 7734) / 1
LCM(7729,7734) = 59776086 / 1
LCM(7729,7734) = 59776086

Properties of LCM 7729 and 7734

(i) The LCM of 7734 and 7729 is associative

LCM of 7729 and 7734 = LCM of 7734 and 7729

Related Least Common Multiples of 7729

Related Least Common Multiples of 7734

Frequently Asked Questions on LCM of 7729 and 7734

1. What is the LCM of 7729 and 7734?

Answer: LCM of 7729 and 7734 is 59776086.

2. 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.

3. What are the Factors of 7734?

Answer: Factors of 7734 are 1, 2, 3, 6, 1289, 2578, 3867, 7734. There are 8 integers that are factors of 7734. The greatest factor of 7734 is 7734.

4. How to Find the LCM of 7729 and 7734?

Answer:

Least Common Multiple of 7729 and 7734 = 59776086

Step 1: Find the prime factorization of 7729

7729 = 59 x 131

Step 2: Find the prime factorization of 7734

7734 = 2 x 3 x 1289

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

LCM = 59776086 = 2 x 3 x 59 x 131 x 1289

Step 4: Therefore, the least common multiple of 7729 and 7734 is 59776086.