Least Common Multiple of 1684 and 1689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1684 and 1689 the smallest integer that is 2844276 that is divisible by both numbers.

Least Common Multiple (LCM) of 1684 and 1689 is 2844276.

LCM(1684,1689) = 2844276

LCM of 1684 and 1689

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

LCM of:
and

Least Common Multiple of 1684 and 1689

LCM of 1684 and 1689 is 2844276

Least common multiple can be found by multiplying the highest exponent prime factors of 1684 and 1689. First we will calculate the prime factors of 1684 and 1689.

Prime Factorization of 1684


2 1684
2 842
421 421
1

Prime factors of 1684 are 2,421. Prime factorization of 1684 in exponential form is:

1684 = 22×4211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1684 and 1689.

LCM(1684,1689) = 22×31×4211×5631
LCM(1684,1689) = 2844276

Factors of 1684

List of positive integer factors of 1684 that divides 1684 without a remainder.

1, 2, 4, 421, 842, 1684

Factors of 1689

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

1, 3, 563, 1689

Least Common Multiple of 1684 and 1689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1684 and 1689, than apply into the LCM equation.

GCF(1684,1689) = 1
LCM(1684,1689) = ( 1684 × 1689) / 1
LCM(1684,1689) = 2844276 / 1
LCM(1684,1689) = 2844276

Properties of LCM 1684 and 1689

(i) The LCM of 1689 and 1684 is associative

LCM of 1684 and 1689 = LCM of 1689 and 1684

Related Least Common Multiples of 1684

Related Least Common Multiples of 1689

Frequently Asked Questions on LCM of 1684 and 1689

1. What is the LCM of 1684 and 1689?

Answer: LCM of 1684 and 1689 is 2844276.

2. What are the Factors of 1684?

Answer: Factors of 1684 are 1, 2, 4, 421, 842, 1684. There are 6 integers that are factors of 1684. The greatest factor of 1684 is 1684.

3. 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.

4. How to Find the LCM of 1684 and 1689?

Answer:

Least Common Multiple of 1684 and 1689 = 2844276

Step 1: Find the prime factorization of 1684

1684 = 2 x 2 x 421

Step 2: Find the prime factorization of 1689

1689 = 3 x 563

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

LCM = 2844276 = 2 x 2 x 3 x 421 x 563

Step 4: Therefore, the least common multiple of 1684 and 1689 is 2844276.