Least Common Multiple of 2718 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 2718 and 2722 the smallest integer that is 3699198 that is divisible by both numbers.

Least Common Multiple (LCM) of 2718 and 2722 is 3699198.

LCM(2718,2722) = 3699198

LCM of 2718 and 2722

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

LCM of:
and

Least Common Multiple of 2718 and 2722

LCM of 2718 and 2722 is 3699198

Least common multiple can be found by multiplying the highest exponent prime factors of 2718 and 2722. First we will calculate the prime factors of 2718 and 2722.

Prime Factorization of 2718


2 2718
3 1359
3 453
151 151
1

Prime factors of 2718 are 2, 3,151. Prime factorization of 2718 in exponential form is:

2718 = 21×32×1511

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 2718 and 2722.

LCM(2718,2722) = 21×32×1511×13611
LCM(2718,2722) = 3699198

Factors of 2718

List of positive integer factors of 2718 that divides 2718 without a remainder.

1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718

Factors of 2722

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

1, 2, 1361, 2722

Least Common Multiple of 2718 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 2718 and 2722, than apply into the LCM equation.

GCF(2718,2722) = 2
LCM(2718,2722) = ( 2718 × 2722) / 2
LCM(2718,2722) = 7398396 / 2
LCM(2718,2722) = 3699198

Properties of LCM 2718 and 2722

(i) The LCM of 2722 and 2718 is associative

LCM of 2718 and 2722 = LCM of 2722 and 2718

Related Least Common Multiples of 2718

Related Least Common Multiples of 2722

Frequently Asked Questions on LCM of 2718 and 2722

1. What is the LCM of 2718 and 2722?

Answer: LCM of 2718 and 2722 is 3699198.

2. What are the Factors of 2718?

Answer: Factors of 2718 are 1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718. There are 12 integers that are factors of 2718. The greatest factor of 2718 is 2718.

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 2718 and 2722?

Answer:

Least Common Multiple of 2718 and 2722 = 3699198

Step 1: Find the prime factorization of 2718

2718 = 2 x 3 x 3 x 151

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 = 3699198 = 2 x 3 x 3 x 151 x 1361

Step 4: Therefore, the least common multiple of 2718 and 2722 is 3699198.