Least Common Multiple of 9716 and 9722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9716 and 9722 the smallest integer that is 47229476 that is divisible by both numbers.

Least Common Multiple (LCM) of 9716 and 9722 is 47229476.

LCM(9716,9722) = 47229476

LCM of 9716 and 9722

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

LCM of:
and

Least Common Multiple of 9716 and 9722

LCM of 9716 and 9722 is 47229476

Least common multiple can be found by multiplying the highest exponent prime factors of 9716 and 9722. First we will calculate the prime factors of 9716 and 9722.

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

Prime Factorization of 9722


2 9722
4861 4861
1

Prime factors of 9722 are 2,4861. Prime factorization of 9722 in exponential form is:

9722 = 21×48611

Now multiplying the highest exponent prime factors to calculate the LCM of 9716 and 9722.

LCM(9716,9722) = 22×71×3471×48611
LCM(9716,9722) = 47229476

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

Factors of 9722

List of positive integer factors of 9722 that divides 9722 without a remainder.

1, 2, 4861, 9722

Least Common Multiple of 9716 and 9722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9716 and 9722, than apply into the LCM equation.

GCF(9716,9722) = 2
LCM(9716,9722) = ( 9716 × 9722) / 2
LCM(9716,9722) = 94458952 / 2
LCM(9716,9722) = 47229476

Properties of LCM 9716 and 9722

(i) The LCM of 9722 and 9716 is associative

LCM of 9716 and 9722 = LCM of 9722 and 9716

Related Least Common Multiples of 9716

Related Least Common Multiples of 9722

Frequently Asked Questions on LCM of 9716 and 9722

1. What is the LCM of 9716 and 9722?

Answer: LCM of 9716 and 9722 is 47229476.

2. 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.

3. What are the Factors of 9722?

Answer: Factors of 9722 are 1, 2, 4861, 9722. There are 4 integers that are factors of 9722. The greatest factor of 9722 is 9722.

4. How to Find the LCM of 9716 and 9722?

Answer:

Least Common Multiple of 9716 and 9722 = 47229476

Step 1: Find the prime factorization of 9716

9716 = 2 x 2 x 7 x 347

Step 2: Find the prime factorization of 9722

9722 = 2 x 4861

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

LCM = 47229476 = 2 x 2 x 7 x 347 x 4861

Step 4: Therefore, the least common multiple of 9716 and 9722 is 47229476.