Least Common Multiple of 1689 and 1697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1689 and 1697 the smallest integer that is 2866233 that is divisible by both numbers.

Least Common Multiple (LCM) of 1689 and 1697 is 2866233.

LCM(1689,1697) = 2866233

LCM of 1689 and 1697

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

LCM of:
and

Least Common Multiple of 1689 and 1697

LCM of 1689 and 1697 is 2866233

Least common multiple can be found by multiplying the highest exponent prime factors of 1689 and 1697. First we will calculate the prime factors of 1689 and 1697.

Prime Factorization of 1689


3 1689
563 563
1

Prime factors of 1689 are 3,563. Prime factorization of 1689 in exponential form is:

1689 = 31×5631

Prime Factorization of 1697


1697 1697
1

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

1697 = 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 1689 and 1697.

LCM(1689,1697) = 31×5631×16971
LCM(1689,1697) = 2866233

Factors of 1689

List of positive integer factors of 1689 that divides 1689 without a remainder.

1, 3, 563, 1689

Factors of 1697

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

1, 1697

Least Common Multiple of 1689 and 1697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1689 and 1697, than apply into the LCM equation.

GCF(1689,1697) = 1
LCM(1689,1697) = ( 1689 × 1697) / 1
LCM(1689,1697) = 2866233 / 1
LCM(1689,1697) = 2866233

Properties of LCM 1689 and 1697

(i) The LCM of 1697 and 1689 is associative

LCM of 1689 and 1697 = LCM of 1697 and 1689

Related Least Common Multiples of 1689

Related Least Common Multiples of 1697

Frequently Asked Questions on LCM of 1689 and 1697

1. What is the LCM of 1689 and 1697?

Answer: LCM of 1689 and 1697 is 2866233.

2. What are the Factors of 1689?

Answer: Factors of 1689 are 1, 3, 563, 1689. There are 4 integers that are factors of 1689. The greatest factor of 1689 is 1689.

3. 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.

4. How to Find the LCM of 1689 and 1697?

Answer:

Least Common Multiple of 1689 and 1697 = 2866233

Step 1: Find the prime factorization of 1689

1689 = 3 x 563

Step 2: Find the prime factorization of 1697

1697 = 1697

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

LCM = 2866233 = 3 x 563 x 1697

Step 4: Therefore, the least common multiple of 1689 and 1697 is 2866233.