Least Common Multiple of 9722 and 9729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9722 and 9729 the smallest integer that is 94585338 that is divisible by both numbers.

Least Common Multiple (LCM) of 9722 and 9729 is 94585338.

LCM(9722,9729) = 94585338

LCM of 9722 and 9729

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

LCM of:
and

Least Common Multiple of 9722 and 9729

LCM of 9722 and 9729 is 94585338

Least common multiple can be found by multiplying the highest exponent prime factors of 9722 and 9729. First we will calculate the prime factors of 9722 and 9729.

Prime Factorization of 9722


2 9722
4861 4861
1

Prime factors of 9722 are 2,4861. Prime factorization of 9722 in exponential form is:

9722 = 21×48611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9722 and 9729.

LCM(9722,9729) = 21×32×231×471×48611
LCM(9722,9729) = 94585338

Factors of 9722

List of positive integer factors of 9722 that divides 9722 without a remainder.

1, 2, 4861, 9722

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

Least Common Multiple of 9722 and 9729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9722 and 9729, than apply into the LCM equation.

GCF(9722,9729) = 1
LCM(9722,9729) = ( 9722 × 9729) / 1
LCM(9722,9729) = 94585338 / 1
LCM(9722,9729) = 94585338

Properties of LCM 9722 and 9729

(i) The LCM of 9729 and 9722 is associative

LCM of 9722 and 9729 = LCM of 9729 and 9722

Related Least Common Multiples of 9722

Related Least Common Multiples of 9729

Frequently Asked Questions on LCM of 9722 and 9729

1. What is the LCM of 9722 and 9729?

Answer: LCM of 9722 and 9729 is 94585338.

2. What are the Factors of 9722?

Answer: Factors of 9722 are 1, 2, 4861, 9722. There are 4 integers that are factors of 9722. The greatest factor of 9722 is 9722.

3. 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.

4. How to Find the LCM of 9722 and 9729?

Answer:

Least Common Multiple of 9722 and 9729 = 94585338

Step 1: Find the prime factorization of 9722

9722 = 2 x 4861

Step 2: Find the prime factorization of 9729

9729 = 3 x 3 x 23 x 47

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

LCM = 94585338 = 2 x 3 x 3 x 23 x 47 x 4861

Step 4: Therefore, the least common multiple of 9722 and 9729 is 94585338.