Least Common Multiple of 693 and 697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 693 and 697 the smallest integer that is 483021 that is divisible by both numbers.

Least Common Multiple (LCM) of 693 and 697 is 483021.

LCM(693,697) = 483021

LCM of 693 and 697

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

LCM of:
and

Least Common Multiple of 693 and 697

LCM of 693 and 697 is 483021

Least common multiple can be found by multiplying the highest exponent prime factors of 693 and 697. First we will calculate the prime factors of 693 and 697.

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

Prime Factorization of 697


17 697
41 41
1

Prime factors of 697 are 17,41. Prime factorization of 697 in exponential form is:

697 = 171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 693 and 697.

LCM(693,697) = 32×71×111×171×411
LCM(693,697) = 483021

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

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Least Common Multiple of 693 and 697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 693 and 697, than apply into the LCM equation.

GCF(693,697) = 1
LCM(693,697) = ( 693 × 697) / 1
LCM(693,697) = 483021 / 1
LCM(693,697) = 483021

Properties of LCM 693 and 697

(i) The LCM of 697 and 693 is associative

LCM of 693 and 697 = LCM of 697 and 693

Related Least Common Multiples of 693

Related Least Common Multiples of 697

Frequently Asked Questions on LCM of 693 and 697

1. What is the LCM of 693 and 697?

Answer: LCM of 693 and 697 is 483021.

2. 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.

3. What are the Factors of 697?

Answer: Factors of 697 are 1, 17, 41, 697. There are 4 integers that are factors of 697. The greatest factor of 697 is 697.

4. How to Find the LCM of 693 and 697?

Answer:

Least Common Multiple of 693 and 697 = 483021

Step 1: Find the prime factorization of 693

693 = 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 697

697 = 17 x 41

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

LCM = 483021 = 3 x 3 x 7 x 11 x 17 x 41

Step 4: Therefore, the least common multiple of 693 and 697 is 483021.