Least Common Multiple of 2694 and 2697

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 2697 the smallest integer that is 2421906 that is divisible by both numbers.

Least Common Multiple (LCM) of 2694 and 2697 is 2421906.

LCM(2694,2697) = 2421906

LCM of 2694 and 2697

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

LCM of:
and

Least Common Multiple of 2694 and 2697

LCM of 2694 and 2697 is 2421906

Least common multiple can be found by multiplying the highest exponent prime factors of 2694 and 2697. First we will calculate the prime factors of 2694 and 2697.

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 2697


3 2697
29 899
31 31
1

Prime factors of 2697 are 3, 29,31. Prime factorization of 2697 in exponential form is:

2697 = 31×291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 2694 and 2697.

LCM(2694,2697) = 21×31×291×311×4491
LCM(2694,2697) = 2421906

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 2697

List of positive integer factors of 2697 that divides 2697 without a remainder.

1, 3, 29, 31, 87, 93, 899, 2697

Least Common Multiple of 2694 and 2697 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 2697, than apply into the LCM equation.

GCF(2694,2697) = 3
LCM(2694,2697) = ( 2694 × 2697) / 3
LCM(2694,2697) = 7265718 / 3
LCM(2694,2697) = 2421906

Properties of LCM 2694 and 2697

(i) The LCM of 2697 and 2694 is associative

LCM of 2694 and 2697 = LCM of 2697 and 2694

Related Least Common Multiples of 2694

Related Least Common Multiples of 2697

Frequently Asked Questions on LCM of 2694 and 2697

1. What is the LCM of 2694 and 2697?

Answer: LCM of 2694 and 2697 is 2421906.

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 2697?

Answer: Factors of 2697 are 1, 3, 29, 31, 87, 93, 899, 2697. There are 8 integers that are factors of 2697. The greatest factor of 2697 is 2697.

4. How to Find the LCM of 2694 and 2697?

Answer:

Least Common Multiple of 2694 and 2697 = 2421906

Step 1: Find the prime factorization of 2694

2694 = 2 x 3 x 449

Step 2: Find the prime factorization of 2697

2697 = 3 x 29 x 31

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

LCM = 2421906 = 2 x 3 x 29 x 31 x 449

Step 4: Therefore, the least common multiple of 2694 and 2697 is 2421906.