Least Common Multiple of 2697 and 2704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2697 and 2704 the smallest integer that is 7292688 that is divisible by both numbers.

Least Common Multiple (LCM) of 2697 and 2704 is 7292688.

LCM(2697,2704) = 7292688

LCM of 2697 and 2704

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

LCM of:
and

Least Common Multiple of 2697 and 2704

LCM of 2697 and 2704 is 7292688

Least common multiple can be found by multiplying the highest exponent prime factors of 2697 and 2704. First we will calculate the prime factors of 2697 and 2704.

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

Prime Factorization of 2704


2 2704
2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 2704 are 2,13. Prime factorization of 2704 in exponential form is:

2704 = 24×132

Now multiplying the highest exponent prime factors to calculate the LCM of 2697 and 2704.

LCM(2697,2704) = 24×31×132×291×311
LCM(2697,2704) = 7292688

Factors of 2697

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

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

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704

Least Common Multiple of 2697 and 2704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2697 and 2704, than apply into the LCM equation.

GCF(2697,2704) = 1
LCM(2697,2704) = ( 2697 × 2704) / 1
LCM(2697,2704) = 7292688 / 1
LCM(2697,2704) = 7292688

Properties of LCM 2697 and 2704

(i) The LCM of 2704 and 2697 is associative

LCM of 2697 and 2704 = LCM of 2704 and 2697

Related Least Common Multiples of 2697

Related Least Common Multiples of 2704

Frequently Asked Questions on LCM of 2697 and 2704

1. What is the LCM of 2697 and 2704?

Answer: LCM of 2697 and 2704 is 7292688.

2. 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.

3. What are the Factors of 2704?

Answer: Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. There are 15 integers that are factors of 2704. The greatest factor of 2704 is 2704.

4. How to Find the LCM of 2697 and 2704?

Answer:

Least Common Multiple of 2697 and 2704 = 7292688

Step 1: Find the prime factorization of 2697

2697 = 3 x 29 x 31

Step 2: Find the prime factorization of 2704

2704 = 2 x 2 x 2 x 2 x 13 x 13

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

LCM = 7292688 = 2 x 2 x 2 x 2 x 3 x 13 x 13 x 29 x 31

Step 4: Therefore, the least common multiple of 2697 and 2704 is 7292688.