Least Common Multiple of 2694 and 2699

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 2699 the smallest integer that is 7271106 that is divisible by both numbers.

Least Common Multiple (LCM) of 2694 and 2699 is 7271106.

LCM(2694,2699) = 7271106

LCM of 2694 and 2699

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

LCM of:
and

Least Common Multiple of 2694 and 2699

LCM of 2694 and 2699 is 7271106

Least common multiple can be found by multiplying the highest exponent prime factors of 2694 and 2699. First we will calculate the prime factors of 2694 and 2699.

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 2699


2699 2699
1

Prime factors of 2699 are 2699. Prime factorization of 2699 in exponential form is:

2699 = 26991

Now multiplying the highest exponent prime factors to calculate the LCM of 2694 and 2699.

LCM(2694,2699) = 21×31×4491×26991
LCM(2694,2699) = 7271106

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 2699

List of positive integer factors of 2699 that divides 2699 without a remainder.

1, 2699

Least Common Multiple of 2694 and 2699 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 2699, than apply into the LCM equation.

GCF(2694,2699) = 1
LCM(2694,2699) = ( 2694 × 2699) / 1
LCM(2694,2699) = 7271106 / 1
LCM(2694,2699) = 7271106

Properties of LCM 2694 and 2699

(i) The LCM of 2699 and 2694 is associative

LCM of 2694 and 2699 = LCM of 2699 and 2694

Related Least Common Multiples of 2694

Related Least Common Multiples of 2699

Frequently Asked Questions on LCM of 2694 and 2699

1. What is the LCM of 2694 and 2699?

Answer: LCM of 2694 and 2699 is 7271106.

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 2699?

Answer: Factors of 2699 are 1, 2699. There are 2 integers that are factors of 2699. The greatest factor of 2699 is 2699.

4. How to Find the LCM of 2694 and 2699?

Answer:

Least Common Multiple of 2694 and 2699 = 7271106

Step 1: Find the prime factorization of 2694

2694 = 2 x 3 x 449

Step 2: Find the prime factorization of 2699

2699 = 2699

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

LCM = 7271106 = 2 x 3 x 449 x 2699

Step 4: Therefore, the least common multiple of 2694 and 2699 is 7271106.