Least Common Multiple of 9743 and 9751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9743 and 9751 the smallest integer that is 95003993 that is divisible by both numbers.

Least Common Multiple (LCM) of 9743 and 9751 is 95003993.

LCM(9743,9751) = 95003993

LCM of 9743 and 9751

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

LCM of:
and

Least Common Multiple of 9743 and 9751

LCM of 9743 and 9751 is 95003993

Least common multiple can be found by multiplying the highest exponent prime factors of 9743 and 9751. First we will calculate the prime factors of 9743 and 9751.

Prime Factorization of 9743


9743 9743
1

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

9743 = 97431

Prime Factorization of 9751


7 9751
7 1393
199 199
1

Prime factors of 9751 are 7,199. Prime factorization of 9751 in exponential form is:

9751 = 72×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9743 and 9751.

LCM(9743,9751) = 72×1991×97431
LCM(9743,9751) = 95003993

Factors of 9743

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

1, 9743

Factors of 9751

List of positive integer factors of 9751 that divides 9751 without a remainder.

1, 7, 49, 199, 1393, 9751

Least Common Multiple of 9743 and 9751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9743 and 9751, than apply into the LCM equation.

GCF(9743,9751) = 1
LCM(9743,9751) = ( 9743 × 9751) / 1
LCM(9743,9751) = 95003993 / 1
LCM(9743,9751) = 95003993

Properties of LCM 9743 and 9751

(i) The LCM of 9751 and 9743 is associative

LCM of 9743 and 9751 = LCM of 9751 and 9743

Related Least Common Multiples of 9743

Related Least Common Multiples of 9751

Frequently Asked Questions on LCM of 9743 and 9751

1. What is the LCM of 9743 and 9751?

Answer: LCM of 9743 and 9751 is 95003993.

2. 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.

3. What are the Factors of 9751?

Answer: Factors of 9751 are 1, 7, 49, 199, 1393, 9751. There are 6 integers that are factors of 9751. The greatest factor of 9751 is 9751.

4. How to Find the LCM of 9743 and 9751?

Answer:

Least Common Multiple of 9743 and 9751 = 95003993

Step 1: Find the prime factorization of 9743

9743 = 9743

Step 2: Find the prime factorization of 9751

9751 = 7 x 7 x 199

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

LCM = 95003993 = 7 x 7 x 199 x 9743

Step 4: Therefore, the least common multiple of 9743 and 9751 is 95003993.