Least Common Multiple of 1681 and 1687

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 1687 the smallest integer that is 2835847 that is divisible by both numbers.

Least Common Multiple (LCM) of 1681 and 1687 is 2835847.

LCM(1681,1687) = 2835847

LCM of 1681 and 1687

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

LCM of:
and

Least Common Multiple of 1681 and 1687

LCM of 1681 and 1687 is 2835847

Least common multiple can be found by multiplying the highest exponent prime factors of 1681 and 1687. First we will calculate the prime factors of 1681 and 1687.

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 1687


7 1687
241 241
1

Prime factors of 1687 are 7,241. Prime factorization of 1687 in exponential form is:

1687 = 71×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 1681 and 1687.

LCM(1681,1687) = 71×412×2411
LCM(1681,1687) = 2835847

Factors of 1681

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

1, 41, 1681

Factors of 1687

List of positive integer factors of 1687 that divides 1687 without a remainder.

1, 7, 241, 1687

Least Common Multiple of 1681 and 1687 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 1687, than apply into the LCM equation.

GCF(1681,1687) = 1
LCM(1681,1687) = ( 1681 × 1687) / 1
LCM(1681,1687) = 2835847 / 1
LCM(1681,1687) = 2835847

Properties of LCM 1681 and 1687

(i) The LCM of 1687 and 1681 is associative

LCM of 1681 and 1687 = LCM of 1687 and 1681

Related Least Common Multiples of 1681

Related Least Common Multiples of 1687

Frequently Asked Questions on LCM of 1681 and 1687

1. What is the LCM of 1681 and 1687?

Answer: LCM of 1681 and 1687 is 2835847.

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 1687?

Answer: Factors of 1687 are 1, 7, 241, 1687. There are 4 integers that are factors of 1687. The greatest factor of 1687 is 1687.

4. How to Find the LCM of 1681 and 1687?

Answer:

Least Common Multiple of 1681 and 1687 = 2835847

Step 1: Find the prime factorization of 1681

1681 = 41 x 41

Step 2: Find the prime factorization of 1687

1687 = 7 x 241

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

LCM = 2835847 = 7 x 41 x 41 x 241

Step 4: Therefore, the least common multiple of 1681 and 1687 is 2835847.