Least Common Multiple of 689 and 693

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 689 and 693 the smallest integer that is 477477 that is divisible by both numbers.

Least Common Multiple (LCM) of 689 and 693 is 477477.

LCM(689,693) = 477477

LCM of 689 and 693

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

LCM of:
and

Least Common Multiple of 689 and 693

LCM of 689 and 693 is 477477

Least common multiple can be found by multiplying the highest exponent prime factors of 689 and 693. First we will calculate the prime factors of 689 and 693.

Prime Factorization of 689


13 689
53 53
1

Prime factors of 689 are 13,53. Prime factorization of 689 in exponential form is:

689 = 131×531

Prime Factorization of 693


3 693
3 231
7 77
11 11
1

Prime factors of 693 are 3, 7,11. Prime factorization of 693 in exponential form is:

693 = 32×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 689 and 693.

LCM(689,693) = 32×71×111×131×531
LCM(689,693) = 477477

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Least Common Multiple of 689 and 693 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 689 and 693, than apply into the LCM equation.

GCF(689,693) = 1
LCM(689,693) = ( 689 × 693) / 1
LCM(689,693) = 477477 / 1
LCM(689,693) = 477477

Properties of LCM 689 and 693

(i) The LCM of 693 and 689 is associative

LCM of 689 and 693 = LCM of 693 and 689

Related Least Common Multiples of 689

Related Least Common Multiples of 693

Frequently Asked Questions on LCM of 689 and 693

1. What is the LCM of 689 and 693?

Answer: LCM of 689 and 693 is 477477.

2. What are the Factors of 689?

Answer: Factors of 689 are 1, 13, 53, 689. There are 4 integers that are factors of 689. The greatest factor of 689 is 689.

3. What are the Factors of 693?

Answer: Factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693. There are 12 integers that are factors of 693. The greatest factor of 693 is 693.

4. How to Find the LCM of 689 and 693?

Answer:

Least Common Multiple of 689 and 693 = 477477

Step 1: Find the prime factorization of 689

689 = 13 x 53

Step 2: Find the prime factorization of 693

693 = 3 x 3 x 7 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 = 477477 = 3 x 3 x 7 x 11 x 13 x 53

Step 4: Therefore, the least common multiple of 689 and 693 is 477477.