Least Common Multiple of 1687 and 1695

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 1695 the smallest integer that is 2859465 that is divisible by both numbers.

Least Common Multiple (LCM) of 1687 and 1695 is 2859465.

LCM(1687,1695) = 2859465

LCM of 1687 and 1695

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

LCM of:
and

Least Common Multiple of 1687 and 1695

LCM of 1687 and 1695 is 2859465

Least common multiple can be found by multiplying the highest exponent prime factors of 1687 and 1695. First we will calculate the prime factors of 1687 and 1695.

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 1695


3 1695
5 565
113 113
1

Prime factors of 1695 are 3, 5,113. Prime factorization of 1695 in exponential form is:

1695 = 31×51×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1687 and 1695.

LCM(1687,1695) = 31×51×71×1131×2411
LCM(1687,1695) = 2859465

Factors of 1687

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

1, 7, 241, 1687

Factors of 1695

List of positive integer factors of 1695 that divides 1695 without a remainder.

1, 3, 5, 15, 113, 339, 565, 1695

Least Common Multiple of 1687 and 1695 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 1695, than apply into the LCM equation.

GCF(1687,1695) = 1
LCM(1687,1695) = ( 1687 × 1695) / 1
LCM(1687,1695) = 2859465 / 1
LCM(1687,1695) = 2859465

Properties of LCM 1687 and 1695

(i) The LCM of 1695 and 1687 is associative

LCM of 1687 and 1695 = LCM of 1695 and 1687

Related Least Common Multiples of 1687

Related Least Common Multiples of 1695

Frequently Asked Questions on LCM of 1687 and 1695

1. What is the LCM of 1687 and 1695?

Answer: LCM of 1687 and 1695 is 2859465.

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 1695?

Answer: Factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695. There are 8 integers that are factors of 1695. The greatest factor of 1695 is 1695.

4. How to Find the LCM of 1687 and 1695?

Answer:

Least Common Multiple of 1687 and 1695 = 2859465

Step 1: Find the prime factorization of 1687

1687 = 7 x 241

Step 2: Find the prime factorization of 1695

1695 = 3 x 5 x 113

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

LCM = 2859465 = 3 x 5 x 7 x 113 x 241

Step 4: Therefore, the least common multiple of 1687 and 1695 is 2859465.