Least Common Multiple of 9734 and 9741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9734 and 9741 the smallest integer that is 94818894 that is divisible by both numbers.

Least Common Multiple (LCM) of 9734 and 9741 is 94818894.

LCM(9734,9741) = 94818894

LCM of 9734 and 9741

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

LCM of:
and

Least Common Multiple of 9734 and 9741

LCM of 9734 and 9741 is 94818894

Least common multiple can be found by multiplying the highest exponent prime factors of 9734 and 9741. First we will calculate the prime factors of 9734 and 9741.

Prime Factorization of 9734


2 9734
31 4867
157 157
1

Prime factors of 9734 are 2, 31,157. Prime factorization of 9734 in exponential form is:

9734 = 21×311×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9734 and 9741.

LCM(9734,9741) = 21×31×171×311×1571×1911
LCM(9734,9741) = 94818894

Factors of 9734

List of positive integer factors of 9734 that divides 9734 without a remainder.

1, 2, 31, 62, 157, 314, 4867, 9734

Factors of 9741

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

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

Least Common Multiple of 9734 and 9741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9734 and 9741, than apply into the LCM equation.

GCF(9734,9741) = 1
LCM(9734,9741) = ( 9734 × 9741) / 1
LCM(9734,9741) = 94818894 / 1
LCM(9734,9741) = 94818894

Properties of LCM 9734 and 9741

(i) The LCM of 9741 and 9734 is associative

LCM of 9734 and 9741 = LCM of 9741 and 9734

Related Least Common Multiples of 9734

Related Least Common Multiples of 9741

Frequently Asked Questions on LCM of 9734 and 9741

1. What is the LCM of 9734 and 9741?

Answer: LCM of 9734 and 9741 is 94818894.

2. What are the Factors of 9734?

Answer: Factors of 9734 are 1, 2, 31, 62, 157, 314, 4867, 9734. There are 8 integers that are factors of 9734. The greatest factor of 9734 is 9734.

3. 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.

4. How to Find the LCM of 9734 and 9741?

Answer:

Least Common Multiple of 9734 and 9741 = 94818894

Step 1: Find the prime factorization of 9734

9734 = 2 x 31 x 157

Step 2: Find the prime factorization of 9741

9741 = 3 x 17 x 191

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

LCM = 94818894 = 2 x 3 x 17 x 31 x 157 x 191

Step 4: Therefore, the least common multiple of 9734 and 9741 is 94818894.