Least Common Multiple of 2718 and 2726

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 2726 the smallest integer that is 3704634 that is divisible by both numbers.

Least Common Multiple (LCM) of 2718 and 2726 is 3704634.

LCM(2718,2726) = 3704634

LCM of 2718 and 2726

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

LCM of:
and

Least Common Multiple of 2718 and 2726

LCM of 2718 and 2726 is 3704634

Least common multiple can be found by multiplying the highest exponent prime factors of 2718 and 2726. First we will calculate the prime factors of 2718 and 2726.

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 2726


2 2726
29 1363
47 47
1

Prime factors of 2726 are 2, 29,47. Prime factorization of 2726 in exponential form is:

2726 = 21×291×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2718 and 2726.

LCM(2718,2726) = 21×32×291×471×1511
LCM(2718,2726) = 3704634

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 2726

List of positive integer factors of 2726 that divides 2726 without a remainder.

1, 2, 29, 47, 58, 94, 1363, 2726

Least Common Multiple of 2718 and 2726 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 2726, than apply into the LCM equation.

GCF(2718,2726) = 2
LCM(2718,2726) = ( 2718 × 2726) / 2
LCM(2718,2726) = 7409268 / 2
LCM(2718,2726) = 3704634

Properties of LCM 2718 and 2726

(i) The LCM of 2726 and 2718 is associative

LCM of 2718 and 2726 = LCM of 2726 and 2718

Related Least Common Multiples of 2718

Related Least Common Multiples of 2726

Frequently Asked Questions on LCM of 2718 and 2726

1. What is the LCM of 2718 and 2726?

Answer: LCM of 2718 and 2726 is 3704634.

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 2726?

Answer: Factors of 2726 are 1, 2, 29, 47, 58, 94, 1363, 2726. There are 8 integers that are factors of 2726. The greatest factor of 2726 is 2726.

4. How to Find the LCM of 2718 and 2726?

Answer:

Least Common Multiple of 2718 and 2726 = 3704634

Step 1: Find the prime factorization of 2718

2718 = 2 x 3 x 3 x 151

Step 2: Find the prime factorization of 2726

2726 = 2 x 29 x 47

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

LCM = 3704634 = 2 x 3 x 3 x 29 x 47 x 151

Step 4: Therefore, the least common multiple of 2718 and 2726 is 3704634.