Least Common Multiple of 681 and 686

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 686 the smallest integer that is 467166 that is divisible by both numbers.

Least Common Multiple (LCM) of 681 and 686 is 467166.

LCM(681,686) = 467166

LCM of 681 and 686

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

LCM of:
and

Least Common Multiple of 681 and 686

LCM of 681 and 686 is 467166

Least common multiple can be found by multiplying the highest exponent prime factors of 681 and 686. First we will calculate the prime factors of 681 and 686.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 681 and 686.

LCM(681,686) = 21×31×73×2271
LCM(681,686) = 467166

Factors of 681

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

1, 3, 227, 681

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Least Common Multiple of 681 and 686 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 686, than apply into the LCM equation.

GCF(681,686) = 1
LCM(681,686) = ( 681 × 686) / 1
LCM(681,686) = 467166 / 1
LCM(681,686) = 467166

Properties of LCM 681 and 686

(i) The LCM of 686 and 681 is associative

LCM of 681 and 686 = LCM of 686 and 681

Related Least Common Multiples of 681

Related Least Common Multiples of 686

Frequently Asked Questions on LCM of 681 and 686

1. What is the LCM of 681 and 686?

Answer: LCM of 681 and 686 is 467166.

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 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.

4. How to Find the LCM of 681 and 686?

Answer:

Least Common Multiple of 681 and 686 = 467166

Step 1: Find the prime factorization of 681

681 = 3 x 227

Step 2: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

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

LCM = 467166 = 2 x 3 x 7 x 7 x 7 x 227

Step 4: Therefore, the least common multiple of 681 and 686 is 467166.