Least Common Multiple of 1687 and 1694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1687 and 1694 the smallest integer that is 408254 that is divisible by both numbers.

Least Common Multiple (LCM) of 1687 and 1694 is 408254.

LCM(1687,1694) = 408254

LCM of 1687 and 1694

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

LCM of:
and

Least Common Multiple of 1687 and 1694

LCM of 1687 and 1694 is 408254

Least common multiple can be found by multiplying the highest exponent prime factors of 1687 and 1694. First we will calculate the prime factors of 1687 and 1694.

Prime Factorization of 1687


7 1687
241 241
1

Prime factors of 1687 are 7,241. Prime factorization of 1687 in exponential form is:

1687 = 71×2411

Prime Factorization of 1694


2 1694
7 847
11 121
11 11
1

Prime factors of 1694 are 2, 7,11. Prime factorization of 1694 in exponential form is:

1694 = 21×71×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1687 and 1694.

LCM(1687,1694) = 21×71×112×2411
LCM(1687,1694) = 408254

Factors of 1687

List of positive integer factors of 1687 that divides 1687 without a remainder.

1, 7, 241, 1687

Factors of 1694

List of positive integer factors of 1694 that divides 1694 without a remainder.

1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694

Least Common Multiple of 1687 and 1694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1687 and 1694, than apply into the LCM equation.

GCF(1687,1694) = 7
LCM(1687,1694) = ( 1687 × 1694) / 7
LCM(1687,1694) = 2857778 / 7
LCM(1687,1694) = 408254

Properties of LCM 1687 and 1694

(i) The LCM of 1694 and 1687 is associative

LCM of 1687 and 1694 = LCM of 1694 and 1687

Related Least Common Multiples of 1687

Related Least Common Multiples of 1694

Frequently Asked Questions on LCM of 1687 and 1694

1. What is the LCM of 1687 and 1694?

Answer: LCM of 1687 and 1694 is 408254.

2. What are the Factors of 1687?

Answer: Factors of 1687 are 1, 7, 241, 1687. There are 4 integers that are factors of 1687. The greatest factor of 1687 is 1687.

3. What are the Factors of 1694?

Answer: Factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694. There are 12 integers that are factors of 1694. The greatest factor of 1694 is 1694.

4. How to Find the LCM of 1687 and 1694?

Answer:

Least Common Multiple of 1687 and 1694 = 408254

Step 1: Find the prime factorization of 1687

1687 = 7 x 241

Step 2: Find the prime factorization of 1694

1694 = 2 x 7 x 11 x 11

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

LCM = 408254 = 2 x 7 x 11 x 11 x 241

Step 4: Therefore, the least common multiple of 1687 and 1694 is 408254.