Least Common Multiple of 686 and 690

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 690 the smallest integer that is 236670 that is divisible by both numbers.

Least Common Multiple (LCM) of 686 and 690 is 236670.

LCM(686,690) = 236670

LCM of 686 and 690

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

LCM of:
and

Least Common Multiple of 686 and 690

LCM of 686 and 690 is 236670

Least common multiple can be found by multiplying the highest exponent prime factors of 686 and 690. First we will calculate the prime factors of 686 and 690.

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 690


2 690
3 345
5 115
23 23
1

Prime factors of 690 are 2, 3, 5,23. Prime factorization of 690 in exponential form is:

690 = 21×31×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 686 and 690.

LCM(686,690) = 21×31×51×73×231
LCM(686,690) = 236670

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 690

List of positive integer factors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Least Common Multiple of 686 and 690 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 690, than apply into the LCM equation.

GCF(686,690) = 2
LCM(686,690) = ( 686 × 690) / 2
LCM(686,690) = 473340 / 2
LCM(686,690) = 236670

Properties of LCM 686 and 690

(i) The LCM of 690 and 686 is associative

LCM of 686 and 690 = LCM of 690 and 686

Related Least Common Multiples of 686

Related Least Common Multiples of 690

Frequently Asked Questions on LCM of 686 and 690

1. What is the LCM of 686 and 690?

Answer: LCM of 686 and 690 is 236670.

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 690?

Answer: Factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690. There are 16 integers that are factors of 690. The greatest factor of 690 is 690.

4. How to Find the LCM of 686 and 690?

Answer:

Least Common Multiple of 686 and 690 = 236670

Step 1: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

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

LCM = 236670 = 2 x 3 x 5 x 7 x 7 x 7 x 23

Step 4: Therefore, the least common multiple of 686 and 690 is 236670.