Least Common Multiple of 9736 and 9743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9736 and 9743 the smallest integer that is 94857848 that is divisible by both numbers.

Least Common Multiple (LCM) of 9736 and 9743 is 94857848.

LCM(9736,9743) = 94857848

LCM of 9736 and 9743

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

LCM of:
and

Least Common Multiple of 9736 and 9743

LCM of 9736 and 9743 is 94857848

Least common multiple can be found by multiplying the highest exponent prime factors of 9736 and 9743. First we will calculate the prime factors of 9736 and 9743.

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

Prime Factorization of 9743


9743 9743
1

Prime factors of 9743 are 9743. Prime factorization of 9743 in exponential form is:

9743 = 97431

Now multiplying the highest exponent prime factors to calculate the LCM of 9736 and 9743.

LCM(9736,9743) = 23×12171×97431
LCM(9736,9743) = 94857848

Factors of 9736

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

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

Factors of 9743

List of positive integer factors of 9743 that divides 9743 without a remainder.

1, 9743

Least Common Multiple of 9736 and 9743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9736 and 9743, than apply into the LCM equation.

GCF(9736,9743) = 1
LCM(9736,9743) = ( 9736 × 9743) / 1
LCM(9736,9743) = 94857848 / 1
LCM(9736,9743) = 94857848

Properties of LCM 9736 and 9743

(i) The LCM of 9743 and 9736 is associative

LCM of 9736 and 9743 = LCM of 9743 and 9736

Related Least Common Multiples of 9736

Related Least Common Multiples of 9743

Frequently Asked Questions on LCM of 9736 and 9743

1. What is the LCM of 9736 and 9743?

Answer: LCM of 9736 and 9743 is 94857848.

2. 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.

3. What are the Factors of 9743?

Answer: Factors of 9743 are 1, 9743. There are 2 integers that are factors of 9743. The greatest factor of 9743 is 9743.

4. How to Find the LCM of 9736 and 9743?

Answer:

Least Common Multiple of 9736 and 9743 = 94857848

Step 1: Find the prime factorization of 9736

9736 = 2 x 2 x 2 x 1217

Step 2: Find the prime factorization of 9743

9743 = 9743

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

LCM = 94857848 = 2 x 2 x 2 x 1217 x 9743

Step 4: Therefore, the least common multiple of 9736 and 9743 is 94857848.