Least Common Multiple of 686 and 688

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 688 the smallest integer that is 235984 that is divisible by both numbers.

Least Common Multiple (LCM) of 686 and 688 is 235984.

LCM(686,688) = 235984

LCM of 686 and 688

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

LCM of:
and

Least Common Multiple of 686 and 688

LCM of 686 and 688 is 235984

Least common multiple can be found by multiplying the highest exponent prime factors of 686 and 688. First we will calculate the prime factors of 686 and 688.

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 688


2 688
2 344
2 172
2 86
43 43
1

Prime factors of 688 are 2,43. Prime factorization of 688 in exponential form is:

688 = 24×431

Now multiplying the highest exponent prime factors to calculate the LCM of 686 and 688.

LCM(686,688) = 24×73×431
LCM(686,688) = 235984

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 688

List of positive integer factors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Least Common Multiple of 686 and 688 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 688, than apply into the LCM equation.

GCF(686,688) = 2
LCM(686,688) = ( 686 × 688) / 2
LCM(686,688) = 471968 / 2
LCM(686,688) = 235984

Properties of LCM 686 and 688

(i) The LCM of 688 and 686 is associative

LCM of 686 and 688 = LCM of 688 and 686

Related Least Common Multiples of 686

Related Least Common Multiples of 688

Frequently Asked Questions on LCM of 686 and 688

1. What is the LCM of 686 and 688?

Answer: LCM of 686 and 688 is 235984.

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 688?

Answer: Factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688. There are 10 integers that are factors of 688. The greatest factor of 688 is 688.

4. How to Find the LCM of 686 and 688?

Answer:

Least Common Multiple of 686 and 688 = 235984

Step 1: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 688

688 = 2 x 2 x 2 x 2 x 43

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

LCM = 235984 = 2 x 2 x 2 x 2 x 7 x 7 x 7 x 43

Step 4: Therefore, the least common multiple of 686 and 688 is 235984.