Least Common Multiple of 9730 and 9734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9730 and 9734 the smallest integer that is 47355910 that is divisible by both numbers.

Least Common Multiple (LCM) of 9730 and 9734 is 47355910.

LCM(9730,9734) = 47355910

LCM of 9730 and 9734

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

LCM of:
and

Least Common Multiple of 9730 and 9734

LCM of 9730 and 9734 is 47355910

Least common multiple can be found by multiplying the highest exponent prime factors of 9730 and 9734. First we will calculate the prime factors of 9730 and 9734.

Prime Factorization of 9730


2 9730
5 4865
7 973
139 139
1

Prime factors of 9730 are 2, 5, 7,139. Prime factorization of 9730 in exponential form is:

9730 = 21×51×71×1391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9730 and 9734.

LCM(9730,9734) = 21×51×71×311×1391×1571
LCM(9730,9734) = 47355910

Factors of 9730

List of positive integer factors of 9730 that divides 9730 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730

Factors of 9734

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

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

Least Common Multiple of 9730 and 9734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9730 and 9734, than apply into the LCM equation.

GCF(9730,9734) = 2
LCM(9730,9734) = ( 9730 × 9734) / 2
LCM(9730,9734) = 94711820 / 2
LCM(9730,9734) = 47355910

Properties of LCM 9730 and 9734

(i) The LCM of 9734 and 9730 is associative

LCM of 9730 and 9734 = LCM of 9734 and 9730

Related Least Common Multiples of 9730

Related Least Common Multiples of 9734

Frequently Asked Questions on LCM of 9730 and 9734

1. What is the LCM of 9730 and 9734?

Answer: LCM of 9730 and 9734 is 47355910.

2. What are the Factors of 9730?

Answer: Factors of 9730 are 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730. There are 16 integers that are factors of 9730. The greatest factor of 9730 is 9730.

3. 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.

4. How to Find the LCM of 9730 and 9734?

Answer:

Least Common Multiple of 9730 and 9734 = 47355910

Step 1: Find the prime factorization of 9730

9730 = 2 x 5 x 7 x 139

Step 2: Find the prime factorization of 9734

9734 = 2 x 31 x 157

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

LCM = 47355910 = 2 x 5 x 7 x 31 x 139 x 157

Step 4: Therefore, the least common multiple of 9730 and 9734 is 47355910.