Least Common Multiple of 9749 and 9753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9749 and 9753 the smallest integer that is 95081997 that is divisible by both numbers.

Least Common Multiple (LCM) of 9749 and 9753 is 95081997.

LCM(9749,9753) = 95081997

LCM of 9749 and 9753

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

LCM of:
and

Least Common Multiple of 9749 and 9753

LCM of 9749 and 9753 is 95081997

Least common multiple can be found by multiplying the highest exponent prime factors of 9749 and 9753. First we will calculate the prime factors of 9749 and 9753.

Prime Factorization of 9749


9749 9749
1

Prime factors of 9749 are 9749. Prime factorization of 9749 in exponential form is:

9749 = 97491

Prime Factorization of 9753


3 9753
3251 3251
1

Prime factors of 9753 are 3,3251. Prime factorization of 9753 in exponential form is:

9753 = 31×32511

Now multiplying the highest exponent prime factors to calculate the LCM of 9749 and 9753.

LCM(9749,9753) = 31×32511×97491
LCM(9749,9753) = 95081997

Factors of 9749

List of positive integer factors of 9749 that divides 9749 without a remainder.

1, 9749

Factors of 9753

List of positive integer factors of 9753 that divides 9753 without a remainder.

1, 3, 3251, 9753

Least Common Multiple of 9749 and 9753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9749 and 9753, than apply into the LCM equation.

GCF(9749,9753) = 1
LCM(9749,9753) = ( 9749 × 9753) / 1
LCM(9749,9753) = 95081997 / 1
LCM(9749,9753) = 95081997

Properties of LCM 9749 and 9753

(i) The LCM of 9753 and 9749 is associative

LCM of 9749 and 9753 = LCM of 9753 and 9749

Related Least Common Multiples of 9749

Related Least Common Multiples of 9753

Frequently Asked Questions on LCM of 9749 and 9753

1. What is the LCM of 9749 and 9753?

Answer: LCM of 9749 and 9753 is 95081997.

2. What are the Factors of 9749?

Answer: Factors of 9749 are 1, 9749. There are 2 integers that are factors of 9749. The greatest factor of 9749 is 9749.

3. What are the Factors of 9753?

Answer: Factors of 9753 are 1, 3, 3251, 9753. There are 4 integers that are factors of 9753. The greatest factor of 9753 is 9753.

4. How to Find the LCM of 9749 and 9753?

Answer:

Least Common Multiple of 9749 and 9753 = 95081997

Step 1: Find the prime factorization of 9749

9749 = 9749

Step 2: Find the prime factorization of 9753

9753 = 3 x 3251

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

LCM = 95081997 = 3 x 3251 x 9749

Step 4: Therefore, the least common multiple of 9749 and 9753 is 95081997.