Least Common Multiple of 691 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 691 and 693 the smallest integer that is 478863 that is divisible by both numbers.

Least Common Multiple (LCM) of 691 and 693 is 478863.

LCM(691,693) = 478863

LCM of 691 and 693

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

LCM of:
and

Least Common Multiple of 691 and 693

LCM of 691 and 693 is 478863

Least common multiple can be found by multiplying the highest exponent prime factors of 691 and 693. First we will calculate the prime factors of 691 and 693.

Prime Factorization of 691


691 691
1

Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:

691 = 6911

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 691 and 693.

LCM(691,693) = 32×71×111×6911
LCM(691,693) = 478863

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1, 691

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 691 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 691 and 693, than apply into the LCM equation.

GCF(691,693) = 1
LCM(691,693) = ( 691 × 693) / 1
LCM(691,693) = 478863 / 1
LCM(691,693) = 478863

Properties of LCM 691 and 693

(i) The LCM of 693 and 691 is associative

LCM of 691 and 693 = LCM of 693 and 691

Related Least Common Multiples of 691

Related Least Common Multiples of 693

Frequently Asked Questions on LCM of 691 and 693

1. What is the LCM of 691 and 693?

Answer: LCM of 691 and 693 is 478863.

2. What are the Factors of 691?

Answer: Factors of 691 are 1, 691. There are 2 integers that are factors of 691. The greatest factor of 691 is 691.

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 691 and 693?

Answer:

Least Common Multiple of 691 and 693 = 478863

Step 1: Find the prime factorization of 691

691 = 691

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 = 478863 = 3 x 3 x 7 x 11 x 691

Step 4: Therefore, the least common multiple of 691 and 693 is 478863.