Least Common Multiple of 1697 and 1705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1697 and 1705 the smallest integer that is 2893385 that is divisible by both numbers.

Least Common Multiple (LCM) of 1697 and 1705 is 2893385.

LCM(1697,1705) = 2893385

LCM of 1697 and 1705

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

LCM of:
and

Least Common Multiple of 1697 and 1705

LCM of 1697 and 1705 is 2893385

Least common multiple can be found by multiplying the highest exponent prime factors of 1697 and 1705. First we will calculate the prime factors of 1697 and 1705.

Prime Factorization of 1697


1697 1697
1

Prime factors of 1697 are 1697. Prime factorization of 1697 in exponential form is:

1697 = 16971

Prime Factorization of 1705


5 1705
11 341
31 31
1

Prime factors of 1705 are 5, 11,31. Prime factorization of 1705 in exponential form is:

1705 = 51×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 1697 and 1705.

LCM(1697,1705) = 51×111×311×16971
LCM(1697,1705) = 2893385

Factors of 1697

List of positive integer factors of 1697 that divides 1697 without a remainder.

1, 1697

Factors of 1705

List of positive integer factors of 1705 that divides 1705 without a remainder.

1, 5, 11, 31, 55, 155, 341, 1705

Least Common Multiple of 1697 and 1705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1697 and 1705, than apply into the LCM equation.

GCF(1697,1705) = 1
LCM(1697,1705) = ( 1697 × 1705) / 1
LCM(1697,1705) = 2893385 / 1
LCM(1697,1705) = 2893385

Properties of LCM 1697 and 1705

(i) The LCM of 1705 and 1697 is associative

LCM of 1697 and 1705 = LCM of 1705 and 1697

Related Least Common Multiples of 1697

Related Least Common Multiples of 1705

Frequently Asked Questions on LCM of 1697 and 1705

1. What is the LCM of 1697 and 1705?

Answer: LCM of 1697 and 1705 is 2893385.

2. What are the Factors of 1697?

Answer: Factors of 1697 are 1, 1697. There are 2 integers that are factors of 1697. The greatest factor of 1697 is 1697.

3. What are the Factors of 1705?

Answer: Factors of 1705 are 1, 5, 11, 31, 55, 155, 341, 1705. There are 8 integers that are factors of 1705. The greatest factor of 1705 is 1705.

4. How to Find the LCM of 1697 and 1705?

Answer:

Least Common Multiple of 1697 and 1705 = 2893385

Step 1: Find the prime factorization of 1697

1697 = 1697

Step 2: Find the prime factorization of 1705

1705 = 5 x 11 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 = 2893385 = 5 x 11 x 31 x 1697

Step 4: Therefore, the least common multiple of 1697 and 1705 is 2893385.