Least Common Multiple of 1689 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 1689 and 1695 the smallest integer that is 954285 that is divisible by both numbers.

Least Common Multiple (LCM) of 1689 and 1695 is 954285.

LCM(1689,1695) = 954285

LCM of 1689 and 1695

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

LCM of:
and

Least Common Multiple of 1689 and 1695

LCM of 1689 and 1695 is 954285

Least common multiple can be found by multiplying the highest exponent prime factors of 1689 and 1695. First we will calculate the prime factors of 1689 and 1695.

Prime Factorization of 1689


3 1689
563 563
1

Prime factors of 1689 are 3,563. Prime factorization of 1689 in exponential form is:

1689 = 31×5631

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 1689 and 1695.

LCM(1689,1695) = 31×51×1131×5631
LCM(1689,1695) = 954285

Factors of 1689

List of positive integer factors of 1689 that divides 1689 without a remainder.

1, 3, 563, 1689

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 1689 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 1689 and 1695, than apply into the LCM equation.

GCF(1689,1695) = 3
LCM(1689,1695) = ( 1689 × 1695) / 3
LCM(1689,1695) = 2862855 / 3
LCM(1689,1695) = 954285

Properties of LCM 1689 and 1695

(i) The LCM of 1695 and 1689 is associative

LCM of 1689 and 1695 = LCM of 1695 and 1689

Related Least Common Multiples of 1689

Related Least Common Multiples of 1695

Frequently Asked Questions on LCM of 1689 and 1695

1. What is the LCM of 1689 and 1695?

Answer: LCM of 1689 and 1695 is 954285.

2. What are the Factors of 1689?

Answer: Factors of 1689 are 1, 3, 563, 1689. There are 4 integers that are factors of 1689. The greatest factor of 1689 is 1689.

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 1689 and 1695?

Answer:

Least Common Multiple of 1689 and 1695 = 954285

Step 1: Find the prime factorization of 1689

1689 = 3 x 563

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 = 954285 = 3 x 5 x 113 x 563

Step 4: Therefore, the least common multiple of 1689 and 1695 is 954285.