Least Common Multiple of 9741 and 9745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9741 and 9745 the smallest integer that is 94926045 that is divisible by both numbers.

Least Common Multiple (LCM) of 9741 and 9745 is 94926045.

LCM(9741,9745) = 94926045

LCM of 9741 and 9745

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

LCM of:
and

Least Common Multiple of 9741 and 9745

LCM of 9741 and 9745 is 94926045

Least common multiple can be found by multiplying the highest exponent prime factors of 9741 and 9745. First we will calculate the prime factors of 9741 and 9745.

Prime Factorization of 9741


3 9741
17 3247
191 191
1

Prime factors of 9741 are 3, 17,191. Prime factorization of 9741 in exponential form is:

9741 = 31×171×1911

Prime Factorization of 9745


5 9745
1949 1949
1

Prime factors of 9745 are 5,1949. Prime factorization of 9745 in exponential form is:

9745 = 51×19491

Now multiplying the highest exponent prime factors to calculate the LCM of 9741 and 9745.

LCM(9741,9745) = 31×51×171×1911×19491
LCM(9741,9745) = 94926045

Factors of 9741

List of positive integer factors of 9741 that divides 9741 without a remainder.

1, 3, 17, 51, 191, 573, 3247, 9741

Factors of 9745

List of positive integer factors of 9745 that divides 9745 without a remainder.

1, 5, 1949, 9745

Least Common Multiple of 9741 and 9745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9741 and 9745, than apply into the LCM equation.

GCF(9741,9745) = 1
LCM(9741,9745) = ( 9741 × 9745) / 1
LCM(9741,9745) = 94926045 / 1
LCM(9741,9745) = 94926045

Properties of LCM 9741 and 9745

(i) The LCM of 9745 and 9741 is associative

LCM of 9741 and 9745 = LCM of 9745 and 9741

Related Least Common Multiples of 9741

Related Least Common Multiples of 9745

Frequently Asked Questions on LCM of 9741 and 9745

1. What is the LCM of 9741 and 9745?

Answer: LCM of 9741 and 9745 is 94926045.

2. What are the Factors of 9741?

Answer: Factors of 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741. There are 8 integers that are factors of 9741. The greatest factor of 9741 is 9741.

3. What are the Factors of 9745?

Answer: Factors of 9745 are 1, 5, 1949, 9745. There are 4 integers that are factors of 9745. The greatest factor of 9745 is 9745.

4. How to Find the LCM of 9741 and 9745?

Answer:

Least Common Multiple of 9741 and 9745 = 94926045

Step 1: Find the prime factorization of 9741

9741 = 3 x 17 x 191

Step 2: Find the prime factorization of 9745

9745 = 5 x 1949

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

LCM = 94926045 = 3 x 5 x 17 x 191 x 1949

Step 4: Therefore, the least common multiple of 9741 and 9745 is 94926045.