Least Common Multiple of 9738 and 9740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9738 and 9740 the smallest integer that is 47424060 that is divisible by both numbers.

Least Common Multiple (LCM) of 9738 and 9740 is 47424060.

LCM(9738,9740) = 47424060

LCM of 9738 and 9740

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

LCM of:
and

Least Common Multiple of 9738 and 9740

LCM of 9738 and 9740 is 47424060

Least common multiple can be found by multiplying the highest exponent prime factors of 9738 and 9740. First we will calculate the prime factors of 9738 and 9740.

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

Prime Factorization of 9740


2 9740
2 4870
5 2435
487 487
1

Prime factors of 9740 are 2, 5,487. Prime factorization of 9740 in exponential form is:

9740 = 22×51×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 9738 and 9740.

LCM(9738,9740) = 22×32×51×4871×5411
LCM(9738,9740) = 47424060

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

Factors of 9740

List of positive integer factors of 9740 that divides 9740 without a remainder.

1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740

Least Common Multiple of 9738 and 9740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9738 and 9740, than apply into the LCM equation.

GCF(9738,9740) = 2
LCM(9738,9740) = ( 9738 × 9740) / 2
LCM(9738,9740) = 94848120 / 2
LCM(9738,9740) = 47424060

Properties of LCM 9738 and 9740

(i) The LCM of 9740 and 9738 is associative

LCM of 9738 and 9740 = LCM of 9740 and 9738

Related Least Common Multiples of 9738

Related Least Common Multiples of 9740

Frequently Asked Questions on LCM of 9738 and 9740

1. What is the LCM of 9738 and 9740?

Answer: LCM of 9738 and 9740 is 47424060.

2. 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.

3. What are the Factors of 9740?

Answer: Factors of 9740 are 1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740. There are 12 integers that are factors of 9740. The greatest factor of 9740 is 9740.

4. How to Find the LCM of 9738 and 9740?

Answer:

Least Common Multiple of 9738 and 9740 = 47424060

Step 1: Find the prime factorization of 9738

9738 = 2 x 3 x 3 x 541

Step 2: Find the prime factorization of 9740

9740 = 2 x 2 x 5 x 487

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

LCM = 47424060 = 2 x 2 x 3 x 3 x 5 x 487 x 541

Step 4: Therefore, the least common multiple of 9738 and 9740 is 47424060.