Least Common Multiple of 680 and 681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 680 and 681 the smallest integer that is 463080 that is divisible by both numbers.

Least Common Multiple (LCM) of 680 and 681 is 463080.

LCM(680,681) = 463080

LCM of 680 and 681

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

LCM of:
and

Least Common Multiple of 680 and 681

LCM of 680 and 681 is 463080

Least common multiple can be found by multiplying the highest exponent prime factors of 680 and 681. First we will calculate the prime factors of 680 and 681.

Prime Factorization of 680


2 680
2 340
2 170
5 85
17 17
1

Prime factors of 680 are 2, 5,17. Prime factorization of 680 in exponential form is:

680 = 23×51×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 680 and 681.

LCM(680,681) = 23×31×51×171×2271
LCM(680,681) = 463080

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Factors of 681

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

1, 3, 227, 681

Least Common Multiple of 680 and 681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 680 and 681, than apply into the LCM equation.

GCF(680,681) = 1
LCM(680,681) = ( 680 × 681) / 1
LCM(680,681) = 463080 / 1
LCM(680,681) = 463080

Properties of LCM 680 and 681

(i) The LCM of 681 and 680 is associative

LCM of 680 and 681 = LCM of 681 and 680

Related Least Common Multiples of 680

Related Least Common Multiples of 681

Frequently Asked Questions on LCM of 680 and 681

1. What is the LCM of 680 and 681?

Answer: LCM of 680 and 681 is 463080.

2. What are the Factors of 680?

Answer: Factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680. There are 16 integers that are factors of 680. The greatest factor of 680 is 680.

3. 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.

4. How to Find the LCM of 680 and 681?

Answer:

Least Common Multiple of 680 and 681 = 463080

Step 1: Find the prime factorization of 680

680 = 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 681

681 = 3 x 227

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

LCM = 463080 = 2 x 2 x 2 x 3 x 5 x 17 x 227

Step 4: Therefore, the least common multiple of 680 and 681 is 463080.