Least Common Multiple of 2716 and 2722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2716 and 2722 the smallest integer that is 3696476 that is divisible by both numbers.

Least Common Multiple (LCM) of 2716 and 2722 is 3696476.

LCM(2716,2722) = 3696476

LCM of 2716 and 2722

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

LCM of:
and

Least Common Multiple of 2716 and 2722

LCM of 2716 and 2722 is 3696476

Least common multiple can be found by multiplying the highest exponent prime factors of 2716 and 2722. First we will calculate the prime factors of 2716 and 2722.

Prime Factorization of 2716


2 2716
2 1358
7 679
97 97
1

Prime factors of 2716 are 2, 7,97. Prime factorization of 2716 in exponential form is:

2716 = 22×71×971

Prime Factorization of 2722


2 2722
1361 1361
1

Prime factors of 2722 are 2,1361. Prime factorization of 2722 in exponential form is:

2722 = 21×13611

Now multiplying the highest exponent prime factors to calculate the LCM of 2716 and 2722.

LCM(2716,2722) = 22×71×971×13611
LCM(2716,2722) = 3696476

Factors of 2716

List of positive integer factors of 2716 that divides 2716 without a remainder.

1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716

Factors of 2722

List of positive integer factors of 2722 that divides 2722 without a remainder.

1, 2, 1361, 2722

Least Common Multiple of 2716 and 2722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2716 and 2722, than apply into the LCM equation.

GCF(2716,2722) = 2
LCM(2716,2722) = ( 2716 × 2722) / 2
LCM(2716,2722) = 7392952 / 2
LCM(2716,2722) = 3696476

Properties of LCM 2716 and 2722

(i) The LCM of 2722 and 2716 is associative

LCM of 2716 and 2722 = LCM of 2722 and 2716

Related Least Common Multiples of 2716

Related Least Common Multiples of 2722

Frequently Asked Questions on LCM of 2716 and 2722

1. What is the LCM of 2716 and 2722?

Answer: LCM of 2716 and 2722 is 3696476.

2. What are the Factors of 2716?

Answer: Factors of 2716 are 1, 2, 4, 7, 14, 28, 97, 194, 388, 679, 1358, 2716. There are 12 integers that are factors of 2716. The greatest factor of 2716 is 2716.

3. What are the Factors of 2722?

Answer: Factors of 2722 are 1, 2, 1361, 2722. There are 4 integers that are factors of 2722. The greatest factor of 2722 is 2722.

4. How to Find the LCM of 2716 and 2722?

Answer:

Least Common Multiple of 2716 and 2722 = 3696476

Step 1: Find the prime factorization of 2716

2716 = 2 x 2 x 7 x 97

Step 2: Find the prime factorization of 2722

2722 = 2 x 1361

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

LCM = 3696476 = 2 x 2 x 7 x 97 x 1361

Step 4: Therefore, the least common multiple of 2716 and 2722 is 3696476.