Least Common Multiple of 681 and 687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 681 and 687 the smallest integer that is 155949 that is divisible by both numbers.

Least Common Multiple (LCM) of 681 and 687 is 155949.

LCM(681,687) = 155949

LCM of 681 and 687

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

LCM of:
and

Least Common Multiple of 681 and 687

LCM of 681 and 687 is 155949

Least common multiple can be found by multiplying the highest exponent prime factors of 681 and 687. First we will calculate the prime factors of 681 and 687.

Prime Factorization of 681


3 681
227 227
1

Prime factors of 681 are 3,227. Prime factorization of 681 in exponential form is:

681 = 31×2271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 681 and 687.

LCM(681,687) = 31×2271×2291
LCM(681,687) = 155949

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Factors of 687

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

1, 3, 229, 687

Least Common Multiple of 681 and 687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 681 and 687, than apply into the LCM equation.

GCF(681,687) = 3
LCM(681,687) = ( 681 × 687) / 3
LCM(681,687) = 467847 / 3
LCM(681,687) = 155949

Properties of LCM 681 and 687

(i) The LCM of 687 and 681 is associative

LCM of 681 and 687 = LCM of 687 and 681

Related Least Common Multiples of 681

Related Least Common Multiples of 687

Frequently Asked Questions on LCM of 681 and 687

1. What is the LCM of 681 and 687?

Answer: LCM of 681 and 687 is 155949.

2. What are the Factors of 681?

Answer: Factors of 681 are 1, 3, 227, 681. There are 4 integers that are factors of 681. The greatest factor of 681 is 681.

3. 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.

4. How to Find the LCM of 681 and 687?

Answer:

Least Common Multiple of 681 and 687 = 155949

Step 1: Find the prime factorization of 681

681 = 3 x 227

Step 2: Find the prime factorization of 687

687 = 3 x 229

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

LCM = 155949 = 3 x 227 x 229

Step 4: Therefore, the least common multiple of 681 and 687 is 155949.