Least Common Multiple of 9726 and 9732

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 9732 the smallest integer that is 15775572 that is divisible by both numbers.

Least Common Multiple (LCM) of 9726 and 9732 is 15775572.

LCM(9726,9732) = 15775572

LCM of 9726 and 9732

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

LCM of:
and

Least Common Multiple of 9726 and 9732

LCM of 9726 and 9732 is 15775572

Least common multiple can be found by multiplying the highest exponent prime factors of 9726 and 9732. First we will calculate the prime factors of 9726 and 9732.

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 9732


2 9732
2 4866
3 2433
811 811
1

Prime factors of 9732 are 2, 3,811. Prime factorization of 9732 in exponential form is:

9732 = 22×31×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 9726 and 9732.

LCM(9726,9732) = 22×31×8111×16211
LCM(9726,9732) = 15775572

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 9732

List of positive integer factors of 9732 that divides 9732 without a remainder.

1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732

Least Common Multiple of 9726 and 9732 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 9732, than apply into the LCM equation.

GCF(9726,9732) = 6
LCM(9726,9732) = ( 9726 × 9732) / 6
LCM(9726,9732) = 94653432 / 6
LCM(9726,9732) = 15775572

Properties of LCM 9726 and 9732

(i) The LCM of 9732 and 9726 is associative

LCM of 9726 and 9732 = LCM of 9732 and 9726

Related Least Common Multiples of 9726

Related Least Common Multiples of 9732

Frequently Asked Questions on LCM of 9726 and 9732

1. What is the LCM of 9726 and 9732?

Answer: LCM of 9726 and 9732 is 15775572.

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 9732?

Answer: Factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732. There are 12 integers that are factors of 9732. The greatest factor of 9732 is 9732.

4. How to Find the LCM of 9726 and 9732?

Answer:

Least Common Multiple of 9726 and 9732 = 15775572

Step 1: Find the prime factorization of 9726

9726 = 2 x 3 x 1621

Step 2: Find the prime factorization of 9732

9732 = 2 x 2 x 3 x 811

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

LCM = 15775572 = 2 x 2 x 3 x 811 x 1621

Step 4: Therefore, the least common multiple of 9726 and 9732 is 15775572.