Least Common Multiple of 687 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 687 and 688 the smallest integer that is 472656 that is divisible by both numbers.

Least Common Multiple (LCM) of 687 and 688 is 472656.

LCM(687,688) = 472656

LCM of 687 and 688

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

LCM of:
and

Least Common Multiple of 687 and 688

LCM of 687 and 688 is 472656

Least common multiple can be found by multiplying the highest exponent prime factors of 687 and 688. First we will calculate the prime factors of 687 and 688.

Prime Factorization of 687


3 687
229 229
1

Prime factors of 687 are 3,229. Prime factorization of 687 in exponential form is:

687 = 31×2291

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 687 and 688.

LCM(687,688) = 24×31×431×2291
LCM(687,688) = 472656

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1, 3, 229, 687

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 687 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 687 and 688, than apply into the LCM equation.

GCF(687,688) = 1
LCM(687,688) = ( 687 × 688) / 1
LCM(687,688) = 472656 / 1
LCM(687,688) = 472656

Properties of LCM 687 and 688

(i) The LCM of 688 and 687 is associative

LCM of 687 and 688 = LCM of 688 and 687

Related Least Common Multiples of 687

Related Least Common Multiples of 688

Frequently Asked Questions on LCM of 687 and 688

1. What is the LCM of 687 and 688?

Answer: LCM of 687 and 688 is 472656.

2. What are the Factors of 687?

Answer: Factors of 687 are 1, 3, 229, 687. There are 4 integers that are factors of 687. The greatest factor of 687 is 687.

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 687 and 688?

Answer:

Least Common Multiple of 687 and 688 = 472656

Step 1: Find the prime factorization of 687

687 = 3 x 229

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 = 472656 = 2 x 2 x 2 x 2 x 3 x 43 x 229

Step 4: Therefore, the least common multiple of 687 and 688 is 472656.