Least Common Multiple of 9726 and 9731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9726 and 9731 the smallest integer that is 94643706 that is divisible by both numbers.

Least Common Multiple (LCM) of 9726 and 9731 is 94643706.

LCM(9726,9731) = 94643706

LCM of 9726 and 9731

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

LCM of:
and

Least Common Multiple of 9726 and 9731

LCM of 9726 and 9731 is 94643706

Least common multiple can be found by multiplying the highest exponent prime factors of 9726 and 9731. First we will calculate the prime factors of 9726 and 9731.

Prime Factorization of 9726


2 9726
3 4863
1621 1621
1

Prime factors of 9726 are 2, 3,1621. Prime factorization of 9726 in exponential form is:

9726 = 21×31×16211

Prime Factorization of 9731


37 9731
263 263
1

Prime factors of 9731 are 37,263. Prime factorization of 9731 in exponential form is:

9731 = 371×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 9726 and 9731.

LCM(9726,9731) = 21×31×371×2631×16211
LCM(9726,9731) = 94643706

Factors of 9726

List of positive integer factors of 9726 that divides 9726 without a remainder.

1, 2, 3, 6, 1621, 3242, 4863, 9726

Factors of 9731

List of positive integer factors of 9731 that divides 9731 without a remainder.

1, 37, 263, 9731

Least Common Multiple of 9726 and 9731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9726 and 9731, than apply into the LCM equation.

GCF(9726,9731) = 1
LCM(9726,9731) = ( 9726 × 9731) / 1
LCM(9726,9731) = 94643706 / 1
LCM(9726,9731) = 94643706

Properties of LCM 9726 and 9731

(i) The LCM of 9731 and 9726 is associative

LCM of 9726 and 9731 = LCM of 9731 and 9726

Related Least Common Multiples of 9726

Related Least Common Multiples of 9731

Frequently Asked Questions on LCM of 9726 and 9731

1. What is the LCM of 9726 and 9731?

Answer: LCM of 9726 and 9731 is 94643706.

2. What are the Factors of 9726?

Answer: Factors of 9726 are 1, 2, 3, 6, 1621, 3242, 4863, 9726. There are 8 integers that are factors of 9726. The greatest factor of 9726 is 9726.

3. What are the Factors of 9731?

Answer: Factors of 9731 are 1, 37, 263, 9731. There are 4 integers that are factors of 9731. The greatest factor of 9731 is 9731.

4. How to Find the LCM of 9726 and 9731?

Answer:

Least Common Multiple of 9726 and 9731 = 94643706

Step 1: Find the prime factorization of 9726

9726 = 2 x 3 x 1621

Step 2: Find the prime factorization of 9731

9731 = 37 x 263

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

LCM = 94643706 = 2 x 3 x 37 x 263 x 1621

Step 4: Therefore, the least common multiple of 9726 and 9731 is 94643706.