Least Common Multiple of 2698 and 2706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2698 and 2706 the smallest integer that is 3650394 that is divisible by both numbers.

Least Common Multiple (LCM) of 2698 and 2706 is 3650394.

LCM(2698,2706) = 3650394

LCM of 2698 and 2706

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

LCM of:
and

Least Common Multiple of 2698 and 2706

LCM of 2698 and 2706 is 3650394

Least common multiple can be found by multiplying the highest exponent prime factors of 2698 and 2706. First we will calculate the prime factors of 2698 and 2706.

Prime Factorization of 2698


2 2698
19 1349
71 71
1

Prime factors of 2698 are 2, 19,71. Prime factorization of 2698 in exponential form is:

2698 = 21×191×711

Prime Factorization of 2706


2 2706
3 1353
11 451
41 41
1

Prime factors of 2706 are 2, 3, 11,41. Prime factorization of 2706 in exponential form is:

2706 = 21×31×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2698 and 2706.

LCM(2698,2706) = 21×31×111×191×411×711
LCM(2698,2706) = 3650394

Factors of 2698

List of positive integer factors of 2698 that divides 2698 without a remainder.

1, 2, 19, 38, 71, 142, 1349, 2698

Factors of 2706

List of positive integer factors of 2706 that divides 2706 without a remainder.

1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706

Least Common Multiple of 2698 and 2706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2698 and 2706, than apply into the LCM equation.

GCF(2698,2706) = 2
LCM(2698,2706) = ( 2698 × 2706) / 2
LCM(2698,2706) = 7300788 / 2
LCM(2698,2706) = 3650394

Properties of LCM 2698 and 2706

(i) The LCM of 2706 and 2698 is associative

LCM of 2698 and 2706 = LCM of 2706 and 2698

Related Least Common Multiples of 2698

Related Least Common Multiples of 2706

Frequently Asked Questions on LCM of 2698 and 2706

1. What is the LCM of 2698 and 2706?

Answer: LCM of 2698 and 2706 is 3650394.

2. What are the Factors of 2698?

Answer: Factors of 2698 are 1, 2, 19, 38, 71, 142, 1349, 2698. There are 8 integers that are factors of 2698. The greatest factor of 2698 is 2698.

3. What are the Factors of 2706?

Answer: Factors of 2706 are 1, 2, 3, 6, 11, 22, 33, 41, 66, 82, 123, 246, 451, 902, 1353, 2706. There are 16 integers that are factors of 2706. The greatest factor of 2706 is 2706.

4. How to Find the LCM of 2698 and 2706?

Answer:

Least Common Multiple of 2698 and 2706 = 3650394

Step 1: Find the prime factorization of 2698

2698 = 2 x 19 x 71

Step 2: Find the prime factorization of 2706

2706 = 2 x 3 x 11 x 41

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

LCM = 3650394 = 2 x 3 x 11 x 19 x 41 x 71

Step 4: Therefore, the least common multiple of 2698 and 2706 is 3650394.