Least Common Multiple of 682 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 682 and 688 the smallest integer that is 234608 that is divisible by both numbers.

Least Common Multiple (LCM) of 682 and 688 is 234608.

LCM(682,688) = 234608

LCM of 682 and 688

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

LCM of:
and

Least Common Multiple of 682 and 688

LCM of 682 and 688 is 234608

Least common multiple can be found by multiplying the highest exponent prime factors of 682 and 688. First we will calculate the prime factors of 682 and 688.

Prime Factorization of 682


2 682
11 341
31 31
1

Prime factors of 682 are 2, 11,31. Prime factorization of 682 in exponential form is:

682 = 21×111×311

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 682 and 688.

LCM(682,688) = 24×111×311×431
LCM(682,688) = 234608

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

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 682 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 682 and 688, than apply into the LCM equation.

GCF(682,688) = 2
LCM(682,688) = ( 682 × 688) / 2
LCM(682,688) = 469216 / 2
LCM(682,688) = 234608

Properties of LCM 682 and 688

(i) The LCM of 688 and 682 is associative

LCM of 682 and 688 = LCM of 688 and 682

Related Least Common Multiples of 682

Related Least Common Multiples of 688

Frequently Asked Questions on LCM of 682 and 688

1. What is the LCM of 682 and 688?

Answer: LCM of 682 and 688 is 234608.

2. What are the Factors of 682?

Answer: Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682. There are 8 integers that are factors of 682. The greatest factor of 682 is 682.

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 682 and 688?

Answer:

Least Common Multiple of 682 and 688 = 234608

Step 1: Find the prime factorization of 682

682 = 2 x 11 x 31

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 = 234608 = 2 x 2 x 2 x 2 x 11 x 31 x 43

Step 4: Therefore, the least common multiple of 682 and 688 is 234608.