Least Common Multiple of 9732 and 9739

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 9739 the smallest integer that is 94779948 that is divisible by both numbers.

Least Common Multiple (LCM) of 9732 and 9739 is 94779948.

LCM(9732,9739) = 94779948

LCM of 9732 and 9739

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

LCM of:
and

Least Common Multiple of 9732 and 9739

LCM of 9732 and 9739 is 94779948

Least common multiple can be found by multiplying the highest exponent prime factors of 9732 and 9739. First we will calculate the prime factors of 9732 and 9739.

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 9739


9739 9739
1

Prime factors of 9739 are 9739. Prime factorization of 9739 in exponential form is:

9739 = 97391

Now multiplying the highest exponent prime factors to calculate the LCM of 9732 and 9739.

LCM(9732,9739) = 22×31×8111×97391
LCM(9732,9739) = 94779948

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 9739

List of positive integer factors of 9739 that divides 9739 without a remainder.

1, 9739

Least Common Multiple of 9732 and 9739 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 9739, than apply into the LCM equation.

GCF(9732,9739) = 1
LCM(9732,9739) = ( 9732 × 9739) / 1
LCM(9732,9739) = 94779948 / 1
LCM(9732,9739) = 94779948

Properties of LCM 9732 and 9739

(i) The LCM of 9739 and 9732 is associative

LCM of 9732 and 9739 = LCM of 9739 and 9732

Related Least Common Multiples of 9732

Related Least Common Multiples of 9739

Frequently Asked Questions on LCM of 9732 and 9739

1. What is the LCM of 9732 and 9739?

Answer: LCM of 9732 and 9739 is 94779948.

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 9739?

Answer: Factors of 9739 are 1, 9739. There are 2 integers that are factors of 9739. The greatest factor of 9739 is 9739.

4. How to Find the LCM of 9732 and 9739?

Answer:

Least Common Multiple of 9732 and 9739 = 94779948

Step 1: Find the prime factorization of 9732

9732 = 2 x 2 x 3 x 811

Step 2: Find the prime factorization of 9739

9739 = 9739

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

LCM = 94779948 = 2 x 2 x 3 x 811 x 9739

Step 4: Therefore, the least common multiple of 9732 and 9739 is 94779948.