Least Common Multiple of 1681 and 1689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1681 and 1689 the smallest integer that is 2839209 that is divisible by both numbers.

Least Common Multiple (LCM) of 1681 and 1689 is 2839209.

LCM(1681,1689) = 2839209

LCM of 1681 and 1689

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

LCM of:
and

Least Common Multiple of 1681 and 1689

LCM of 1681 and 1689 is 2839209

Least common multiple can be found by multiplying the highest exponent prime factors of 1681 and 1689. First we will calculate the prime factors of 1681 and 1689.

Prime Factorization of 1681


41 1681
41 41
1

Prime factors of 1681 are 41. Prime factorization of 1681 in exponential form is:

1681 = 412

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1681 and 1689.

LCM(1681,1689) = 31×412×5631
LCM(1681,1689) = 2839209

Factors of 1681

List of positive integer factors of 1681 that divides 1681 without a remainder.

1, 41, 1681

Factors of 1689

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

1, 3, 563, 1689

Least Common Multiple of 1681 and 1689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1681 and 1689, than apply into the LCM equation.

GCF(1681,1689) = 1
LCM(1681,1689) = ( 1681 × 1689) / 1
LCM(1681,1689) = 2839209 / 1
LCM(1681,1689) = 2839209

Properties of LCM 1681 and 1689

(i) The LCM of 1689 and 1681 is associative

LCM of 1681 and 1689 = LCM of 1689 and 1681

Related Least Common Multiples of 1681

Related Least Common Multiples of 1689

Frequently Asked Questions on LCM of 1681 and 1689

1. What is the LCM of 1681 and 1689?

Answer: LCM of 1681 and 1689 is 2839209.

2. What are the Factors of 1681?

Answer: Factors of 1681 are 1, 41, 1681. There are 3 integers that are factors of 1681. The greatest factor of 1681 is 1681.

3. 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.

4. How to Find the LCM of 1681 and 1689?

Answer:

Least Common Multiple of 1681 and 1689 = 2839209

Step 1: Find the prime factorization of 1681

1681 = 41 x 41

Step 2: Find the prime factorization of 1689

1689 = 3 x 563

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

LCM = 2839209 = 3 x 41 x 41 x 563

Step 4: Therefore, the least common multiple of 1681 and 1689 is 2839209.