Least Common Multiple of 686 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 686 and 693 the smallest integer that is 67914 that is divisible by both numbers.

Least Common Multiple (LCM) of 686 and 693 is 67914.

LCM(686,693) = 67914

LCM of 686 and 693

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

LCM of:
and

Least Common Multiple of 686 and 693

LCM of 686 and 693 is 67914

Least common multiple can be found by multiplying the highest exponent prime factors of 686 and 693. First we will calculate the prime factors of 686 and 693.

Prime Factorization of 686


2 686
7 343
7 49
7 7
1

Prime factors of 686 are 2,7. Prime factorization of 686 in exponential form is:

686 = 21×73

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 686 and 693.

LCM(686,693) = 21×32×73×111
LCM(686,693) = 67914

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

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 686 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 686 and 693, than apply into the LCM equation.

GCF(686,693) = 7
LCM(686,693) = ( 686 × 693) / 7
LCM(686,693) = 475398 / 7
LCM(686,693) = 67914

Properties of LCM 686 and 693

(i) The LCM of 693 and 686 is associative

LCM of 686 and 693 = LCM of 693 and 686

Related Least Common Multiples of 686

Related Least Common Multiples of 693

Frequently Asked Questions on LCM of 686 and 693

1. What is the LCM of 686 and 693?

Answer: LCM of 686 and 693 is 67914.

2. What are the Factors of 686?

Answer: Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. There are 8 integers that are factors of 686. The greatest factor of 686 is 686.

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 686 and 693?

Answer:

Least Common Multiple of 686 and 693 = 67914

Step 1: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

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 = 67914 = 2 x 3 x 3 x 7 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 686 and 693 is 67914.