Least Common Multiple of 9730 and 9738

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 9738 the smallest integer that is 47375370 that is divisible by both numbers.

Least Common Multiple (LCM) of 9730 and 9738 is 47375370.

LCM(9730,9738) = 47375370

LCM of 9730 and 9738

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

LCM of:
and

Least Common Multiple of 9730 and 9738

LCM of 9730 and 9738 is 47375370

Least common multiple can be found by multiplying the highest exponent prime factors of 9730 and 9738. First we will calculate the prime factors of 9730 and 9738.

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 9738


2 9738
3 4869
3 1623
541 541
1

Prime factors of 9738 are 2, 3,541. Prime factorization of 9738 in exponential form is:

9738 = 21×32×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 9730 and 9738.

LCM(9730,9738) = 21×32×51×71×1391×5411
LCM(9730,9738) = 47375370

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 9738

List of positive integer factors of 9738 that divides 9738 without a remainder.

1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738

Least Common Multiple of 9730 and 9738 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 9738, than apply into the LCM equation.

GCF(9730,9738) = 2
LCM(9730,9738) = ( 9730 × 9738) / 2
LCM(9730,9738) = 94750740 / 2
LCM(9730,9738) = 47375370

Properties of LCM 9730 and 9738

(i) The LCM of 9738 and 9730 is associative

LCM of 9730 and 9738 = LCM of 9738 and 9730

Related Least Common Multiples of 9730

Related Least Common Multiples of 9738

Frequently Asked Questions on LCM of 9730 and 9738

1. What is the LCM of 9730 and 9738?

Answer: LCM of 9730 and 9738 is 47375370.

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 9738?

Answer: Factors of 9738 are 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738. There are 12 integers that are factors of 9738. The greatest factor of 9738 is 9738.

4. How to Find the LCM of 9730 and 9738?

Answer:

Least Common Multiple of 9730 and 9738 = 47375370

Step 1: Find the prime factorization of 9730

9730 = 2 x 5 x 7 x 139

Step 2: Find the prime factorization of 9738

9738 = 2 x 3 x 3 x 541

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

LCM = 47375370 = 2 x 3 x 3 x 5 x 7 x 139 x 541

Step 4: Therefore, the least common multiple of 9730 and 9738 is 47375370.