Least Common Multiple of 2717 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 2717 and 2722 the smallest integer that is 7395674 that is divisible by both numbers.

Least Common Multiple (LCM) of 2717 and 2722 is 7395674.

LCM(2717,2722) = 7395674

LCM of 2717 and 2722

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

LCM of:
and

Least Common Multiple of 2717 and 2722

LCM of 2717 and 2722 is 7395674

Least common multiple can be found by multiplying the highest exponent prime factors of 2717 and 2722. First we will calculate the prime factors of 2717 and 2722.

Prime Factorization of 2717


11 2717
13 247
19 19
1

Prime factors of 2717 are 11, 13,19. Prime factorization of 2717 in exponential form is:

2717 = 111×131×191

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 2717 and 2722.

LCM(2717,2722) = 21×111×131×191×13611
LCM(2717,2722) = 7395674

Factors of 2717

List of positive integer factors of 2717 that divides 2717 without a remainder.

1, 11, 13, 19, 143, 209, 247, 2717

Factors of 2722

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

1, 2, 1361, 2722

Least Common Multiple of 2717 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 2717 and 2722, than apply into the LCM equation.

GCF(2717,2722) = 1
LCM(2717,2722) = ( 2717 × 2722) / 1
LCM(2717,2722) = 7395674 / 1
LCM(2717,2722) = 7395674

Properties of LCM 2717 and 2722

(i) The LCM of 2722 and 2717 is associative

LCM of 2717 and 2722 = LCM of 2722 and 2717

Related Least Common Multiples of 2717

Related Least Common Multiples of 2722

Frequently Asked Questions on LCM of 2717 and 2722

1. What is the LCM of 2717 and 2722?

Answer: LCM of 2717 and 2722 is 7395674.

2. What are the Factors of 2717?

Answer: Factors of 2717 are 1, 11, 13, 19, 143, 209, 247, 2717. There are 8 integers that are factors of 2717. The greatest factor of 2717 is 2717.

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 2717 and 2722?

Answer:

Least Common Multiple of 2717 and 2722 = 7395674

Step 1: Find the prime factorization of 2717

2717 = 11 x 13 x 19

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 = 7395674 = 2 x 11 x 13 x 19 x 1361

Step 4: Therefore, the least common multiple of 2717 and 2722 is 7395674.