Least Common Multiple of 9740 and 9746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9740 and 9746 the smallest integer that is 47463020 that is divisible by both numbers.

Least Common Multiple (LCM) of 9740 and 9746 is 47463020.

LCM(9740,9746) = 47463020

LCM of 9740 and 9746

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

LCM of:
and

Least Common Multiple of 9740 and 9746

LCM of 9740 and 9746 is 47463020

Least common multiple can be found by multiplying the highest exponent prime factors of 9740 and 9746. First we will calculate the prime factors of 9740 and 9746.

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

Prime Factorization of 9746


2 9746
11 4873
443 443
1

Prime factors of 9746 are 2, 11,443. Prime factorization of 9746 in exponential form is:

9746 = 21×111×4431

Now multiplying the highest exponent prime factors to calculate the LCM of 9740 and 9746.

LCM(9740,9746) = 22×51×111×4431×4871
LCM(9740,9746) = 47463020

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

Factors of 9746

List of positive integer factors of 9746 that divides 9746 without a remainder.

1, 2, 11, 22, 443, 886, 4873, 9746

Least Common Multiple of 9740 and 9746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9740 and 9746, than apply into the LCM equation.

GCF(9740,9746) = 2
LCM(9740,9746) = ( 9740 × 9746) / 2
LCM(9740,9746) = 94926040 / 2
LCM(9740,9746) = 47463020

Properties of LCM 9740 and 9746

(i) The LCM of 9746 and 9740 is associative

LCM of 9740 and 9746 = LCM of 9746 and 9740

Related Least Common Multiples of 9740

Related Least Common Multiples of 9746

Frequently Asked Questions on LCM of 9740 and 9746

1. What is the LCM of 9740 and 9746?

Answer: LCM of 9740 and 9746 is 47463020.

2. 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.

3. What are the Factors of 9746?

Answer: Factors of 9746 are 1, 2, 11, 22, 443, 886, 4873, 9746. There are 8 integers that are factors of 9746. The greatest factor of 9746 is 9746.

4. How to Find the LCM of 9740 and 9746?

Answer:

Least Common Multiple of 9740 and 9746 = 47463020

Step 1: Find the prime factorization of 9740

9740 = 2 x 2 x 5 x 487

Step 2: Find the prime factorization of 9746

9746 = 2 x 11 x 443

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

LCM = 47463020 = 2 x 2 x 5 x 11 x 443 x 487

Step 4: Therefore, the least common multiple of 9740 and 9746 is 47463020.