Least Common Multiple of 9711 and 9716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9711 and 9716 the smallest integer that is 94352076 that is divisible by both numbers.

Least Common Multiple (LCM) of 9711 and 9716 is 94352076.

LCM(9711,9716) = 94352076

LCM of 9711 and 9716

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

LCM of:
and

Least Common Multiple of 9711 and 9716

LCM of 9711 and 9716 is 94352076

Least common multiple can be found by multiplying the highest exponent prime factors of 9711 and 9716. First we will calculate the prime factors of 9711 and 9716.

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

Prime Factorization of 9716


2 9716
2 4858
7 2429
347 347
1

Prime factors of 9716 are 2, 7,347. Prime factorization of 9716 in exponential form is:

9716 = 22×71×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 9711 and 9716.

LCM(9711,9716) = 22×32×71×131×831×3471
LCM(9711,9716) = 94352076

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

Factors of 9716

List of positive integer factors of 9716 that divides 9716 without a remainder.

1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716

Least Common Multiple of 9711 and 9716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9711 and 9716, than apply into the LCM equation.

GCF(9711,9716) = 1
LCM(9711,9716) = ( 9711 × 9716) / 1
LCM(9711,9716) = 94352076 / 1
LCM(9711,9716) = 94352076

Properties of LCM 9711 and 9716

(i) The LCM of 9716 and 9711 is associative

LCM of 9711 and 9716 = LCM of 9716 and 9711

Related Least Common Multiples of 9711

Related Least Common Multiples of 9716

Frequently Asked Questions on LCM of 9711 and 9716

1. What is the LCM of 9711 and 9716?

Answer: LCM of 9711 and 9716 is 94352076.

2. 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.

3. What are the Factors of 9716?

Answer: Factors of 9716 are 1, 2, 4, 7, 14, 28, 347, 694, 1388, 2429, 4858, 9716. There are 12 integers that are factors of 9716. The greatest factor of 9716 is 9716.

4. How to Find the LCM of 9711 and 9716?

Answer:

Least Common Multiple of 9711 and 9716 = 94352076

Step 1: Find the prime factorization of 9711

9711 = 3 x 3 x 13 x 83

Step 2: Find the prime factorization of 9716

9716 = 2 x 2 x 7 x 347

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

LCM = 94352076 = 2 x 2 x 3 x 3 x 7 x 13 x 83 x 347

Step 4: Therefore, the least common multiple of 9711 and 9716 is 94352076.