Least Common Multiple of 681 and 682

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 682 the smallest integer that is 464442 that is divisible by both numbers.

Least Common Multiple (LCM) of 681 and 682 is 464442.

LCM(681,682) = 464442

LCM of 681 and 682

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

LCM of:
and

Least Common Multiple of 681 and 682

LCM of 681 and 682 is 464442

Least common multiple can be found by multiplying the highest exponent prime factors of 681 and 682. First we will calculate the prime factors of 681 and 682.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 681 and 682.

LCM(681,682) = 21×31×111×311×2271
LCM(681,682) = 464442

Factors of 681

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

1, 3, 227, 681

Factors of 682

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

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

Least Common Multiple of 681 and 682 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 682, than apply into the LCM equation.

GCF(681,682) = 1
LCM(681,682) = ( 681 × 682) / 1
LCM(681,682) = 464442 / 1
LCM(681,682) = 464442

Properties of LCM 681 and 682

(i) The LCM of 682 and 681 is associative

LCM of 681 and 682 = LCM of 682 and 681

Related Least Common Multiples of 681

Related Least Common Multiples of 682

Frequently Asked Questions on LCM of 681 and 682

1. What is the LCM of 681 and 682?

Answer: LCM of 681 and 682 is 464442.

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 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.

4. How to Find the LCM of 681 and 682?

Answer:

Least Common Multiple of 681 and 682 = 464442

Step 1: Find the prime factorization of 681

681 = 3 x 227

Step 2: Find the prime factorization of 682

682 = 2 x 11 x 31

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

LCM = 464442 = 2 x 3 x 11 x 31 x 227

Step 4: Therefore, the least common multiple of 681 and 682 is 464442.