Least Common Multiple of 1697 and 1701

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 1701 the smallest integer that is 2886597 that is divisible by both numbers.

Least Common Multiple (LCM) of 1697 and 1701 is 2886597.

LCM(1697,1701) = 2886597

LCM of 1697 and 1701

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

LCM of:
and

Least Common Multiple of 1697 and 1701

LCM of 1697 and 1701 is 2886597

Least common multiple can be found by multiplying the highest exponent prime factors of 1697 and 1701. First we will calculate the prime factors of 1697 and 1701.

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 1701


3 1701
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 1701 are 3,7. Prime factorization of 1701 in exponential form is:

1701 = 35×71

Now multiplying the highest exponent prime factors to calculate the LCM of 1697 and 1701.

LCM(1697,1701) = 35×71×16971
LCM(1697,1701) = 2886597

Factors of 1697

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

1, 1697

Factors of 1701

List of positive integer factors of 1701 that divides 1701 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701

Least Common Multiple of 1697 and 1701 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 1701, than apply into the LCM equation.

GCF(1697,1701) = 1
LCM(1697,1701) = ( 1697 × 1701) / 1
LCM(1697,1701) = 2886597 / 1
LCM(1697,1701) = 2886597

Properties of LCM 1697 and 1701

(i) The LCM of 1701 and 1697 is associative

LCM of 1697 and 1701 = LCM of 1701 and 1697

Related Least Common Multiples of 1697

Related Least Common Multiples of 1701

Frequently Asked Questions on LCM of 1697 and 1701

1. What is the LCM of 1697 and 1701?

Answer: LCM of 1697 and 1701 is 2886597.

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 1701?

Answer: Factors of 1701 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701. There are 12 integers that are factors of 1701. The greatest factor of 1701 is 1701.

4. How to Find the LCM of 1697 and 1701?

Answer:

Least Common Multiple of 1697 and 1701 = 2886597

Step 1: Find the prime factorization of 1697

1697 = 1697

Step 2: Find the prime factorization of 1701

1701 = 3 x 3 x 3 x 3 x 3 x 7

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

LCM = 2886597 = 3 x 3 x 3 x 3 x 3 x 7 x 1697

Step 4: Therefore, the least common multiple of 1697 and 1701 is 2886597.