Least Common Multiple of 9732 and 9736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9732 and 9736 the smallest integer that is 23687688 that is divisible by both numbers.

Least Common Multiple (LCM) of 9732 and 9736 is 23687688.

LCM(9732,9736) = 23687688

LCM of 9732 and 9736

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

LCM of:
and

Least Common Multiple of 9732 and 9736

LCM of 9732 and 9736 is 23687688

Least common multiple can be found by multiplying the highest exponent prime factors of 9732 and 9736. First we will calculate the prime factors of 9732 and 9736.

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

Prime Factorization of 9736


2 9736
2 4868
2 2434
1217 1217
1

Prime factors of 9736 are 2,1217. Prime factorization of 9736 in exponential form is:

9736 = 23×12171

Now multiplying the highest exponent prime factors to calculate the LCM of 9732 and 9736.

LCM(9732,9736) = 23×31×8111×12171
LCM(9732,9736) = 23687688

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

Factors of 9736

List of positive integer factors of 9736 that divides 9736 without a remainder.

1, 2, 4, 8, 1217, 2434, 4868, 9736

Least Common Multiple of 9732 and 9736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9732 and 9736, than apply into the LCM equation.

GCF(9732,9736) = 4
LCM(9732,9736) = ( 9732 × 9736) / 4
LCM(9732,9736) = 94750752 / 4
LCM(9732,9736) = 23687688

Properties of LCM 9732 and 9736

(i) The LCM of 9736 and 9732 is associative

LCM of 9732 and 9736 = LCM of 9736 and 9732

Related Least Common Multiples of 9732

Related Least Common Multiples of 9736

Frequently Asked Questions on LCM of 9732 and 9736

1. What is the LCM of 9732 and 9736?

Answer: LCM of 9732 and 9736 is 23687688.

2. 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.

3. What are the Factors of 9736?

Answer: Factors of 9736 are 1, 2, 4, 8, 1217, 2434, 4868, 9736. There are 8 integers that are factors of 9736. The greatest factor of 9736 is 9736.

4. How to Find the LCM of 9732 and 9736?

Answer:

Least Common Multiple of 9732 and 9736 = 23687688

Step 1: Find the prime factorization of 9732

9732 = 2 x 2 x 3 x 811

Step 2: Find the prime factorization of 9736

9736 = 2 x 2 x 2 x 1217

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

LCM = 23687688 = 2 x 2 x 2 x 3 x 811 x 1217

Step 4: Therefore, the least common multiple of 9732 and 9736 is 23687688.