Least Common Multiple of 1686 and 1692

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 1692 the smallest integer that is 475452 that is divisible by both numbers.

Least Common Multiple (LCM) of 1686 and 1692 is 475452.

LCM(1686,1692) = 475452

LCM of 1686 and 1692

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

LCM of:
and

Least Common Multiple of 1686 and 1692

LCM of 1686 and 1692 is 475452

Least common multiple can be found by multiplying the highest exponent prime factors of 1686 and 1692. First we will calculate the prime factors of 1686 and 1692.

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 1692


2 1692
2 846
3 423
3 141
47 47
1

Prime factors of 1692 are 2, 3,47. Prime factorization of 1692 in exponential form is:

1692 = 22×32×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1686 and 1692.

LCM(1686,1692) = 22×32×471×2811
LCM(1686,1692) = 475452

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 1692

List of positive integer factors of 1692 that divides 1692 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692

Least Common Multiple of 1686 and 1692 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 1692, than apply into the LCM equation.

GCF(1686,1692) = 6
LCM(1686,1692) = ( 1686 × 1692) / 6
LCM(1686,1692) = 2852712 / 6
LCM(1686,1692) = 475452

Properties of LCM 1686 and 1692

(i) The LCM of 1692 and 1686 is associative

LCM of 1686 and 1692 = LCM of 1692 and 1686

Related Least Common Multiples of 1686

Related Least Common Multiples of 1692

Frequently Asked Questions on LCM of 1686 and 1692

1. What is the LCM of 1686 and 1692?

Answer: LCM of 1686 and 1692 is 475452.

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 1692?

Answer: Factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692. There are 18 integers that are factors of 1692. The greatest factor of 1692 is 1692.

4. How to Find the LCM of 1686 and 1692?

Answer:

Least Common Multiple of 1686 and 1692 = 475452

Step 1: Find the prime factorization of 1686

1686 = 2 x 3 x 281

Step 2: Find the prime factorization of 1692

1692 = 2 x 2 x 3 x 3 x 47

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

LCM = 475452 = 2 x 2 x 3 x 3 x 47 x 281

Step 4: Therefore, the least common multiple of 1686 and 1692 is 475452.