Least Common Multiple of 1686 and 1691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1686 and 1691 the smallest integer that is 2851026 that is divisible by both numbers.

Least Common Multiple (LCM) of 1686 and 1691 is 2851026.

LCM(1686,1691) = 2851026

LCM of 1686 and 1691

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

LCM of:
and

Least Common Multiple of 1686 and 1691

LCM of 1686 and 1691 is 2851026

Least common multiple can be found by multiplying the highest exponent prime factors of 1686 and 1691. First we will calculate the prime factors of 1686 and 1691.

Prime Factorization of 1686


2 1686
3 843
281 281
1

Prime factors of 1686 are 2, 3,281. Prime factorization of 1686 in exponential form is:

1686 = 21×31×2811

Prime Factorization of 1691


19 1691
89 89
1

Prime factors of 1691 are 19,89. Prime factorization of 1691 in exponential form is:

1691 = 191×891

Now multiplying the highest exponent prime factors to calculate the LCM of 1686 and 1691.

LCM(1686,1691) = 21×31×191×891×2811
LCM(1686,1691) = 2851026

Factors of 1686

List of positive integer factors of 1686 that divides 1686 without a remainder.

1, 2, 3, 6, 281, 562, 843, 1686

Factors of 1691

List of positive integer factors of 1691 that divides 1691 without a remainder.

1, 19, 89, 1691

Least Common Multiple of 1686 and 1691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1686 and 1691, than apply into the LCM equation.

GCF(1686,1691) = 1
LCM(1686,1691) = ( 1686 × 1691) / 1
LCM(1686,1691) = 2851026 / 1
LCM(1686,1691) = 2851026

Properties of LCM 1686 and 1691

(i) The LCM of 1691 and 1686 is associative

LCM of 1686 and 1691 = LCM of 1691 and 1686

Related Least Common Multiples of 1686

Related Least Common Multiples of 1691

Frequently Asked Questions on LCM of 1686 and 1691

1. What is the LCM of 1686 and 1691?

Answer: LCM of 1686 and 1691 is 2851026.

2. What are the Factors of 1686?

Answer: Factors of 1686 are 1, 2, 3, 6, 281, 562, 843, 1686. There are 8 integers that are factors of 1686. The greatest factor of 1686 is 1686.

3. What are the Factors of 1691?

Answer: Factors of 1691 are 1, 19, 89, 1691. There are 4 integers that are factors of 1691. The greatest factor of 1691 is 1691.

4. How to Find the LCM of 1686 and 1691?

Answer:

Least Common Multiple of 1686 and 1691 = 2851026

Step 1: Find the prime factorization of 1686

1686 = 2 x 3 x 281

Step 2: Find the prime factorization of 1691

1691 = 19 x 89

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

LCM = 2851026 = 2 x 3 x 19 x 89 x 281

Step 4: Therefore, the least common multiple of 1686 and 1691 is 2851026.