Least Common Multiple of 1686 and 1690

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 1690 the smallest integer that is 1424670 that is divisible by both numbers.

Least Common Multiple (LCM) of 1686 and 1690 is 1424670.

LCM(1686,1690) = 1424670

LCM of 1686 and 1690

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

LCM of:
and

Least Common Multiple of 1686 and 1690

LCM of 1686 and 1690 is 1424670

Least common multiple can be found by multiplying the highest exponent prime factors of 1686 and 1690. First we will calculate the prime factors of 1686 and 1690.

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 1690


2 1690
5 845
13 169
13 13
1

Prime factors of 1690 are 2, 5,13. Prime factorization of 1690 in exponential form is:

1690 = 21×51×132

Now multiplying the highest exponent prime factors to calculate the LCM of 1686 and 1690.

LCM(1686,1690) = 21×31×51×132×2811
LCM(1686,1690) = 1424670

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 1690

List of positive integer factors of 1690 that divides 1690 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690

Least Common Multiple of 1686 and 1690 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 1690, than apply into the LCM equation.

GCF(1686,1690) = 2
LCM(1686,1690) = ( 1686 × 1690) / 2
LCM(1686,1690) = 2849340 / 2
LCM(1686,1690) = 1424670

Properties of LCM 1686 and 1690

(i) The LCM of 1690 and 1686 is associative

LCM of 1686 and 1690 = LCM of 1690 and 1686

Related Least Common Multiples of 1686

Related Least Common Multiples of 1690

Frequently Asked Questions on LCM of 1686 and 1690

1. What is the LCM of 1686 and 1690?

Answer: LCM of 1686 and 1690 is 1424670.

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 1690?

Answer: Factors of 1690 are 1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690. There are 12 integers that are factors of 1690. The greatest factor of 1690 is 1690.

4. How to Find the LCM of 1686 and 1690?

Answer:

Least Common Multiple of 1686 and 1690 = 1424670

Step 1: Find the prime factorization of 1686

1686 = 2 x 3 x 281

Step 2: Find the prime factorization of 1690

1690 = 2 x 5 x 13 x 13

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

LCM = 1424670 = 2 x 3 x 5 x 13 x 13 x 281

Step 4: Therefore, the least common multiple of 1686 and 1690 is 1424670.