Least Common Multiple of 1686 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 1686 and 1693 the smallest integer that is 2854398 that is divisible by both numbers.

Least Common Multiple (LCM) of 1686 and 1693 is 2854398.

LCM(1686,1693) = 2854398

LCM of 1686 and 1693

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

LCM of:
and

Least Common Multiple of 1686 and 1693

LCM of 1686 and 1693 is 2854398

Least common multiple can be found by multiplying the highest exponent prime factors of 1686 and 1693. First we will calculate the prime factors of 1686 and 1693.

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 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 1686 and 1693.

LCM(1686,1693) = 21×31×2811×16931
LCM(1686,1693) = 2854398

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 1693

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

1, 1693

Least Common Multiple of 1686 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 1686 and 1693, than apply into the LCM equation.

GCF(1686,1693) = 1
LCM(1686,1693) = ( 1686 × 1693) / 1
LCM(1686,1693) = 2854398 / 1
LCM(1686,1693) = 2854398

Properties of LCM 1686 and 1693

(i) The LCM of 1693 and 1686 is associative

LCM of 1686 and 1693 = LCM of 1693 and 1686

Related Least Common Multiples of 1686

Related Least Common Multiples of 1693

Frequently Asked Questions on LCM of 1686 and 1693

1. What is the LCM of 1686 and 1693?

Answer: LCM of 1686 and 1693 is 2854398.

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 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 1686 and 1693?

Answer:

Least Common Multiple of 1686 and 1693 = 2854398

Step 1: Find the prime factorization of 1686

1686 = 2 x 3 x 281

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 = 2854398 = 2 x 3 x 281 x 1693

Step 4: Therefore, the least common multiple of 1686 and 1693 is 2854398.