Least Common Multiple of 693 and 699

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 699 the smallest integer that is 161469 that is divisible by both numbers.

Least Common Multiple (LCM) of 693 and 699 is 161469.

LCM(693,699) = 161469

LCM of 693 and 699

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

LCM of:
and

Least Common Multiple of 693 and 699

LCM of 693 and 699 is 161469

Least common multiple can be found by multiplying the highest exponent prime factors of 693 and 699. First we will calculate the prime factors of 693 and 699.

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 699


3 699
233 233
1

Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:

699 = 31×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 693 and 699.

LCM(693,699) = 32×71×111×2331
LCM(693,699) = 161469

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 699

List of positive integer factors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Least Common Multiple of 693 and 699 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 699, than apply into the LCM equation.

GCF(693,699) = 3
LCM(693,699) = ( 693 × 699) / 3
LCM(693,699) = 484407 / 3
LCM(693,699) = 161469

Properties of LCM 693 and 699

(i) The LCM of 699 and 693 is associative

LCM of 693 and 699 = LCM of 699 and 693

Related Least Common Multiples of 693

Related Least Common Multiples of 699

Frequently Asked Questions on LCM of 693 and 699

1. What is the LCM of 693 and 699?

Answer: LCM of 693 and 699 is 161469.

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 699?

Answer: Factors of 699 are 1, 3, 233, 699. There are 4 integers that are factors of 699. The greatest factor of 699 is 699.

4. How to Find the LCM of 693 and 699?

Answer:

Least Common Multiple of 693 and 699 = 161469

Step 1: Find the prime factorization of 693

693 = 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 699

699 = 3 x 233

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

LCM = 161469 = 3 x 3 x 7 x 11 x 233

Step 4: Therefore, the least common multiple of 693 and 699 is 161469.