Least Common Multiple of 9729 and 9734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9729 and 9734 the smallest integer that is 94702086 that is divisible by both numbers.

Least Common Multiple (LCM) of 9729 and 9734 is 94702086.

LCM(9729,9734) = 94702086

LCM of 9729 and 9734

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

LCM of:
and

Least Common Multiple of 9729 and 9734

LCM of 9729 and 9734 is 94702086

Least common multiple can be found by multiplying the highest exponent prime factors of 9729 and 9734. First we will calculate the prime factors of 9729 and 9734.

Prime Factorization of 9729


3 9729
3 3243
23 1081
47 47
1

Prime factors of 9729 are 3, 23,47. Prime factorization of 9729 in exponential form is:

9729 = 32×231×471

Prime Factorization of 9734


2 9734
31 4867
157 157
1

Prime factors of 9734 are 2, 31,157. Prime factorization of 9734 in exponential form is:

9734 = 21×311×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 9729 and 9734.

LCM(9729,9734) = 21×32×231×311×471×1571
LCM(9729,9734) = 94702086

Factors of 9729

List of positive integer factors of 9729 that divides 9729 without a remainder.

1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729

Factors of 9734

List of positive integer factors of 9734 that divides 9734 without a remainder.

1, 2, 31, 62, 157, 314, 4867, 9734

Least Common Multiple of 9729 and 9734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9729 and 9734, than apply into the LCM equation.

GCF(9729,9734) = 1
LCM(9729,9734) = ( 9729 × 9734) / 1
LCM(9729,9734) = 94702086 / 1
LCM(9729,9734) = 94702086

Properties of LCM 9729 and 9734

(i) The LCM of 9734 and 9729 is associative

LCM of 9729 and 9734 = LCM of 9734 and 9729

Related Least Common Multiples of 9729

Related Least Common Multiples of 9734

Frequently Asked Questions on LCM of 9729 and 9734

1. What is the LCM of 9729 and 9734?

Answer: LCM of 9729 and 9734 is 94702086.

2. What are the Factors of 9729?

Answer: Factors of 9729 are 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729. There are 12 integers that are factors of 9729. The greatest factor of 9729 is 9729.

3. What are the Factors of 9734?

Answer: Factors of 9734 are 1, 2, 31, 62, 157, 314, 4867, 9734. There are 8 integers that are factors of 9734. The greatest factor of 9734 is 9734.

4. How to Find the LCM of 9729 and 9734?

Answer:

Least Common Multiple of 9729 and 9734 = 94702086

Step 1: Find the prime factorization of 9729

9729 = 3 x 3 x 23 x 47

Step 2: Find the prime factorization of 9734

9734 = 2 x 31 x 157

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

LCM = 94702086 = 2 x 3 x 3 x 23 x 31 x 47 x 157

Step 4: Therefore, the least common multiple of 9729 and 9734 is 94702086.