Least Common Multiple of 1689 and 1694

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 1694 the smallest integer that is 2861166 that is divisible by both numbers.

Least Common Multiple (LCM) of 1689 and 1694 is 2861166.

LCM(1689,1694) = 2861166

LCM of 1689 and 1694

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

LCM of:
and

Least Common Multiple of 1689 and 1694

LCM of 1689 and 1694 is 2861166

Least common multiple can be found by multiplying the highest exponent prime factors of 1689 and 1694. First we will calculate the prime factors of 1689 and 1694.

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 1694


2 1694
7 847
11 121
11 11
1

Prime factors of 1694 are 2, 7,11. Prime factorization of 1694 in exponential form is:

1694 = 21×71×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1689 and 1694.

LCM(1689,1694) = 21×31×71×112×5631
LCM(1689,1694) = 2861166

Factors of 1689

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

1, 3, 563, 1689

Factors of 1694

List of positive integer factors of 1694 that divides 1694 without a remainder.

1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694

Least Common Multiple of 1689 and 1694 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 1694, than apply into the LCM equation.

GCF(1689,1694) = 1
LCM(1689,1694) = ( 1689 × 1694) / 1
LCM(1689,1694) = 2861166 / 1
LCM(1689,1694) = 2861166

Properties of LCM 1689 and 1694

(i) The LCM of 1694 and 1689 is associative

LCM of 1689 and 1694 = LCM of 1694 and 1689

Related Least Common Multiples of 1689

Related Least Common Multiples of 1694

Frequently Asked Questions on LCM of 1689 and 1694

1. What is the LCM of 1689 and 1694?

Answer: LCM of 1689 and 1694 is 2861166.

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 1694?

Answer: Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. There are 12 integers that are factors of 1694. The greatest factor of 1694 is 1694.

4. How to Find the LCM of 1689 and 1694?

Answer:

Least Common Multiple of 1689 and 1694 = 2861166

Step 1: Find the prime factorization of 1689

1689 = 3 x 563

Step 2: Find the prime factorization of 1694

1694 = 2 x 7 x 11 x 11

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

LCM = 2861166 = 2 x 3 x 7 x 11 x 11 x 563

Step 4: Therefore, the least common multiple of 1689 and 1694 is 2861166.