Least Common Multiple of 1681 and 1683

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 1683 the smallest integer that is 2829123 that is divisible by both numbers.

Least Common Multiple (LCM) of 1681 and 1683 is 2829123.

LCM(1681,1683) = 2829123

LCM of 1681 and 1683

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

LCM of:
and

Least Common Multiple of 1681 and 1683

LCM of 1681 and 1683 is 2829123

Least common multiple can be found by multiplying the highest exponent prime factors of 1681 and 1683. First we will calculate the prime factors of 1681 and 1683.

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 1683


3 1683
3 561
11 187
17 17
1

Prime factors of 1683 are 3, 11,17. Prime factorization of 1683 in exponential form is:

1683 = 32×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1681 and 1683.

LCM(1681,1683) = 32×111×171×412
LCM(1681,1683) = 2829123

Factors of 1681

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

1, 41, 1681

Factors of 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683

Least Common Multiple of 1681 and 1683 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 1683, than apply into the LCM equation.

GCF(1681,1683) = 1
LCM(1681,1683) = ( 1681 × 1683) / 1
LCM(1681,1683) = 2829123 / 1
LCM(1681,1683) = 2829123

Properties of LCM 1681 and 1683

(i) The LCM of 1683 and 1681 is associative

LCM of 1681 and 1683 = LCM of 1683 and 1681

Related Least Common Multiples of 1681

Related Least Common Multiples of 1683

Frequently Asked Questions on LCM of 1681 and 1683

1. What is the LCM of 1681 and 1683?

Answer: LCM of 1681 and 1683 is 2829123.

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 1683?

Answer: Factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683. There are 12 integers that are factors of 1683. The greatest factor of 1683 is 1683.

4. How to Find the LCM of 1681 and 1683?

Answer:

Least Common Multiple of 1681 and 1683 = 2829123

Step 1: Find the prime factorization of 1681

1681 = 41 x 41

Step 2: Find the prime factorization of 1683

1683 = 3 x 3 x 11 x 17

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

LCM = 2829123 = 3 x 3 x 11 x 17 x 41 x 41

Step 4: Therefore, the least common multiple of 1681 and 1683 is 2829123.