Least Common Multiple of 1689 and 1693

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 1693 the smallest integer that is 2859477 that is divisible by both numbers.

Least Common Multiple (LCM) of 1689 and 1693 is 2859477.

LCM(1689,1693) = 2859477

LCM of 1689 and 1693

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

LCM of:
and

Least Common Multiple of 1689 and 1693

LCM of 1689 and 1693 is 2859477

Least common multiple can be found by multiplying the highest exponent prime factors of 1689 and 1693. First we will calculate the prime factors of 1689 and 1693.

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 1693


1693 1693
1

Prime factors of 1693 are 1693. Prime factorization of 1693 in exponential form is:

1693 = 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 1689 and 1693.

LCM(1689,1693) = 31×5631×16931
LCM(1689,1693) = 2859477

Factors of 1689

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

1, 3, 563, 1689

Factors of 1693

List of positive integer factors of 1693 that divides 1693 without a remainder.

1, 1693

Least Common Multiple of 1689 and 1693 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 1693, than apply into the LCM equation.

GCF(1689,1693) = 1
LCM(1689,1693) = ( 1689 × 1693) / 1
LCM(1689,1693) = 2859477 / 1
LCM(1689,1693) = 2859477

Properties of LCM 1689 and 1693

(i) The LCM of 1693 and 1689 is associative

LCM of 1689 and 1693 = LCM of 1693 and 1689

Related Least Common Multiples of 1689

Related Least Common Multiples of 1693

Frequently Asked Questions on LCM of 1689 and 1693

1. What is the LCM of 1689 and 1693?

Answer: LCM of 1689 and 1693 is 2859477.

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 1693?

Answer: Factors of 1693 are 1, 1693. There are 2 integers that are factors of 1693. The greatest factor of 1693 is 1693.

4. How to Find the LCM of 1689 and 1693?

Answer:

Least Common Multiple of 1689 and 1693 = 2859477

Step 1: Find the prime factorization of 1689

1689 = 3 x 563

Step 2: Find the prime factorization of 1693

1693 = 1693

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

LCM = 2859477 = 3 x 563 x 1693

Step 4: Therefore, the least common multiple of 1689 and 1693 is 2859477.