Least Common Multiple of 9704 and 9711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9704 and 9711 the smallest integer that is 94235544 that is divisible by both numbers.

Least Common Multiple (LCM) of 9704 and 9711 is 94235544.

LCM(9704,9711) = 94235544

LCM of 9704 and 9711

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

LCM of:
and

Least Common Multiple of 9704 and 9711

LCM of 9704 and 9711 is 94235544

Least common multiple can be found by multiplying the highest exponent prime factors of 9704 and 9711. First we will calculate the prime factors of 9704 and 9711.

Prime Factorization of 9704


2 9704
2 4852
2 2426
1213 1213
1

Prime factors of 9704 are 2,1213. Prime factorization of 9704 in exponential form is:

9704 = 23×12131

Prime Factorization of 9711


3 9711
3 3237
13 1079
83 83
1

Prime factors of 9711 are 3, 13,83. Prime factorization of 9711 in exponential form is:

9711 = 32×131×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9704 and 9711.

LCM(9704,9711) = 23×32×131×831×12131
LCM(9704,9711) = 94235544

Factors of 9704

List of positive integer factors of 9704 that divides 9704 without a remainder.

1, 2, 4, 8, 1213, 2426, 4852, 9704

Factors of 9711

List of positive integer factors of 9711 that divides 9711 without a remainder.

1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711

Least Common Multiple of 9704 and 9711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9704 and 9711, than apply into the LCM equation.

GCF(9704,9711) = 1
LCM(9704,9711) = ( 9704 × 9711) / 1
LCM(9704,9711) = 94235544 / 1
LCM(9704,9711) = 94235544

Properties of LCM 9704 and 9711

(i) The LCM of 9711 and 9704 is associative

LCM of 9704 and 9711 = LCM of 9711 and 9704

Related Least Common Multiples of 9704

Related Least Common Multiples of 9711

Frequently Asked Questions on LCM of 9704 and 9711

1. What is the LCM of 9704 and 9711?

Answer: LCM of 9704 and 9711 is 94235544.

2. What are the Factors of 9704?

Answer: Factors of 9704 are 1, 2, 4, 8, 1213, 2426, 4852, 9704. There are 8 integers that are factors of 9704. The greatest factor of 9704 is 9704.

3. What are the Factors of 9711?

Answer: Factors of 9711 are 1, 3, 9, 13, 39, 83, 117, 249, 747, 1079, 3237, 9711. There are 12 integers that are factors of 9711. The greatest factor of 9711 is 9711.

4. How to Find the LCM of 9704 and 9711?

Answer:

Least Common Multiple of 9704 and 9711 = 94235544

Step 1: Find the prime factorization of 9704

9704 = 2 x 2 x 2 x 1213

Step 2: Find the prime factorization of 9711

9711 = 3 x 3 x 13 x 83

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

LCM = 94235544 = 2 x 2 x 2 x 3 x 3 x 13 x 83 x 1213

Step 4: Therefore, the least common multiple of 9704 and 9711 is 94235544.