Least Common Multiple of 2697 and 2705

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 2705 the smallest integer that is 7295385 that is divisible by both numbers.

Least Common Multiple (LCM) of 2697 and 2705 is 7295385.

LCM(2697,2705) = 7295385

LCM of 2697 and 2705

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

LCM of:
and

Least Common Multiple of 2697 and 2705

LCM of 2697 and 2705 is 7295385

Least common multiple can be found by multiplying the highest exponent prime factors of 2697 and 2705. First we will calculate the prime factors of 2697 and 2705.

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 2705


5 2705
541 541
1

Prime factors of 2705 are 5,541. Prime factorization of 2705 in exponential form is:

2705 = 51×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 2697 and 2705.

LCM(2697,2705) = 31×51×291×311×5411
LCM(2697,2705) = 7295385

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 2705

List of positive integer factors of 2705 that divides 2705 without a remainder.

1, 5, 541, 2705

Least Common Multiple of 2697 and 2705 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 2705, than apply into the LCM equation.

GCF(2697,2705) = 1
LCM(2697,2705) = ( 2697 × 2705) / 1
LCM(2697,2705) = 7295385 / 1
LCM(2697,2705) = 7295385

Properties of LCM 2697 and 2705

(i) The LCM of 2705 and 2697 is associative

LCM of 2697 and 2705 = LCM of 2705 and 2697

Related Least Common Multiples of 2697

Related Least Common Multiples of 2705

Frequently Asked Questions on LCM of 2697 and 2705

1. What is the LCM of 2697 and 2705?

Answer: LCM of 2697 and 2705 is 7295385.

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 2705?

Answer: Factors of 2705 are 1, 5, 541, 2705. There are 4 integers that are factors of 2705. The greatest factor of 2705 is 2705.

4. How to Find the LCM of 2697 and 2705?

Answer:

Least Common Multiple of 2697 and 2705 = 7295385

Step 1: Find the prime factorization of 2697

2697 = 3 x 29 x 31

Step 2: Find the prime factorization of 2705

2705 = 5 x 541

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

LCM = 7295385 = 3 x 5 x 29 x 31 x 541

Step 4: Therefore, the least common multiple of 2697 and 2705 is 7295385.