Least Common Multiple of 9749 and 9757

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 9757 the smallest integer that is 95120993 that is divisible by both numbers.

Least Common Multiple (LCM) of 9749 and 9757 is 95120993.

LCM(9749,9757) = 95120993

LCM of 9749 and 9757

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

LCM of:
and

Least Common Multiple of 9749 and 9757

LCM of 9749 and 9757 is 95120993

Least common multiple can be found by multiplying the highest exponent prime factors of 9749 and 9757. First we will calculate the prime factors of 9749 and 9757.

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 9757


11 9757
887 887
1

Prime factors of 9757 are 11,887. Prime factorization of 9757 in exponential form is:

9757 = 111×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 9749 and 9757.

LCM(9749,9757) = 111×8871×97491
LCM(9749,9757) = 95120993

Factors of 9749

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

1, 9749

Factors of 9757

List of positive integer factors of 9757 that divides 9757 without a remainder.

1, 11, 887, 9757

Least Common Multiple of 9749 and 9757 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 9757, than apply into the LCM equation.

GCF(9749,9757) = 1
LCM(9749,9757) = ( 9749 × 9757) / 1
LCM(9749,9757) = 95120993 / 1
LCM(9749,9757) = 95120993

Properties of LCM 9749 and 9757

(i) The LCM of 9757 and 9749 is associative

LCM of 9749 and 9757 = LCM of 9757 and 9749

Related Least Common Multiples of 9749

Related Least Common Multiples of 9757

Frequently Asked Questions on LCM of 9749 and 9757

1. What is the LCM of 9749 and 9757?

Answer: LCM of 9749 and 9757 is 95120993.

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 9757?

Answer: Factors of 9757 are 1, 11, 887, 9757. There are 4 integers that are factors of 9757. The greatest factor of 9757 is 9757.

4. How to Find the LCM of 9749 and 9757?

Answer:

Least Common Multiple of 9749 and 9757 = 95120993

Step 1: Find the prime factorization of 9749

9749 = 9749

Step 2: Find the prime factorization of 9757

9757 = 11 x 887

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

LCM = 95120993 = 11 x 887 x 9749

Step 4: Therefore, the least common multiple of 9749 and 9757 is 95120993.