Least Common Multiple of 9745 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 9745 and 9751 the smallest integer that is 95023495 that is divisible by both numbers.

Least Common Multiple (LCM) of 9745 and 9751 is 95023495.

LCM(9745,9751) = 95023495

LCM of 9745 and 9751

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

LCM of:
and

Least Common Multiple of 9745 and 9751

LCM of 9745 and 9751 is 95023495

Least common multiple can be found by multiplying the highest exponent prime factors of 9745 and 9751. First we will calculate the prime factors of 9745 and 9751.

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 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 9745 and 9751.

LCM(9745,9751) = 51×72×1991×19491
LCM(9745,9751) = 95023495

Factors of 9745

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

1, 5, 1949, 9745

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 9745 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 9745 and 9751, than apply into the LCM equation.

GCF(9745,9751) = 1
LCM(9745,9751) = ( 9745 × 9751) / 1
LCM(9745,9751) = 95023495 / 1
LCM(9745,9751) = 95023495

Properties of LCM 9745 and 9751

(i) The LCM of 9751 and 9745 is associative

LCM of 9745 and 9751 = LCM of 9751 and 9745

Related Least Common Multiples of 9745

Related Least Common Multiples of 9751

Frequently Asked Questions on LCM of 9745 and 9751

1. What is the LCM of 9745 and 9751?

Answer: LCM of 9745 and 9751 is 95023495.

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 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 9745 and 9751?

Answer:

Least Common Multiple of 9745 and 9751 = 95023495

Step 1: Find the prime factorization of 9745

9745 = 5 x 1949

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 = 95023495 = 5 x 7 x 7 x 199 x 1949

Step 4: Therefore, the least common multiple of 9745 and 9751 is 95023495.