Least Common Multiple of 9745 and 9752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9745 and 9752 the smallest integer that is 95033240 that is divisible by both numbers.

Least Common Multiple (LCM) of 9745 and 9752 is 95033240.

LCM(9745,9752) = 95033240

LCM of 9745 and 9752

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

LCM of:
and

Least Common Multiple of 9745 and 9752

LCM of 9745 and 9752 is 95033240

Least common multiple can be found by multiplying the highest exponent prime factors of 9745 and 9752. First we will calculate the prime factors of 9745 and 9752.

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

Prime Factorization of 9752


2 9752
2 4876
2 2438
23 1219
53 53
1

Prime factors of 9752 are 2, 23,53. Prime factorization of 9752 in exponential form is:

9752 = 23×231×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9745 and 9752.

LCM(9745,9752) = 23×51×231×531×19491
LCM(9745,9752) = 95033240

Factors of 9745

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

1, 5, 1949, 9745

Factors of 9752

List of positive integer factors of 9752 that divides 9752 without a remainder.

1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752

Least Common Multiple of 9745 and 9752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9745 and 9752, than apply into the LCM equation.

GCF(9745,9752) = 1
LCM(9745,9752) = ( 9745 × 9752) / 1
LCM(9745,9752) = 95033240 / 1
LCM(9745,9752) = 95033240

Properties of LCM 9745 and 9752

(i) The LCM of 9752 and 9745 is associative

LCM of 9745 and 9752 = LCM of 9752 and 9745

Related Least Common Multiples of 9745

Related Least Common Multiples of 9752

Frequently Asked Questions on LCM of 9745 and 9752

1. What is the LCM of 9745 and 9752?

Answer: LCM of 9745 and 9752 is 95033240.

2. 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.

3. What are the Factors of 9752?

Answer: Factors of 9752 are 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752. There are 16 integers that are factors of 9752. The greatest factor of 9752 is 9752.

4. How to Find the LCM of 9745 and 9752?

Answer:

Least Common Multiple of 9745 and 9752 = 95033240

Step 1: Find the prime factorization of 9745

9745 = 5 x 1949

Step 2: Find the prime factorization of 9752

9752 = 2 x 2 x 2 x 23 x 53

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

LCM = 95033240 = 2 x 2 x 2 x 5 x 23 x 53 x 1949

Step 4: Therefore, the least common multiple of 9745 and 9752 is 95033240.