Least Common Multiple of 2694 and 2698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2694 and 2698 the smallest integer that is 3634206 that is divisible by both numbers.

Least Common Multiple (LCM) of 2694 and 2698 is 3634206.

LCM(2694,2698) = 3634206

LCM of 2694 and 2698

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

LCM of:
and

Least Common Multiple of 2694 and 2698

LCM of 2694 and 2698 is 3634206

Least common multiple can be found by multiplying the highest exponent prime factors of 2694 and 2698. First we will calculate the prime factors of 2694 and 2698.

Prime Factorization of 2694


2 2694
3 1347
449 449
1

Prime factors of 2694 are 2, 3,449. Prime factorization of 2694 in exponential form is:

2694 = 21×31×4491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2694 and 2698.

LCM(2694,2698) = 21×31×191×711×4491
LCM(2694,2698) = 3634206

Factors of 2694

List of positive integer factors of 2694 that divides 2694 without a remainder.

1, 2, 3, 6, 449, 898, 1347, 2694

Factors of 2698

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

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

Least Common Multiple of 2694 and 2698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2694 and 2698, than apply into the LCM equation.

GCF(2694,2698) = 2
LCM(2694,2698) = ( 2694 × 2698) / 2
LCM(2694,2698) = 7268412 / 2
LCM(2694,2698) = 3634206

Properties of LCM 2694 and 2698

(i) The LCM of 2698 and 2694 is associative

LCM of 2694 and 2698 = LCM of 2698 and 2694

Related Least Common Multiples of 2694

Related Least Common Multiples of 2698

Frequently Asked Questions on LCM of 2694 and 2698

1. What is the LCM of 2694 and 2698?

Answer: LCM of 2694 and 2698 is 3634206.

2. What are the Factors of 2694?

Answer: Factors of 2694 are 1, 2, 3, 6, 449, 898, 1347, 2694. There are 8 integers that are factors of 2694. The greatest factor of 2694 is 2694.

3. 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.

4. How to Find the LCM of 2694 and 2698?

Answer:

Least Common Multiple of 2694 and 2698 = 3634206

Step 1: Find the prime factorization of 2694

2694 = 2 x 3 x 449

Step 2: Find the prime factorization of 2698

2698 = 2 x 19 x 71

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

LCM = 3634206 = 2 x 3 x 19 x 71 x 449

Step 4: Therefore, the least common multiple of 2694 and 2698 is 3634206.