Least Common Multiple of 679 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 679 and 681 the smallest integer that is 462399 that is divisible by both numbers.

Least Common Multiple (LCM) of 679 and 681 is 462399.

LCM(679,681) = 462399

LCM of 679 and 681

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

LCM of:
and

Least Common Multiple of 679 and 681

LCM of 679 and 681 is 462399

Least common multiple can be found by multiplying the highest exponent prime factors of 679 and 681. First we will calculate the prime factors of 679 and 681.

Prime Factorization of 679


7 679
97 97
1

Prime factors of 679 are 7,97. Prime factorization of 679 in exponential form is:

679 = 71×971

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 679 and 681.

LCM(679,681) = 31×71×971×2271
LCM(679,681) = 462399

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Factors of 681

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

1, 3, 227, 681

Least Common Multiple of 679 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 679 and 681, than apply into the LCM equation.

GCF(679,681) = 1
LCM(679,681) = ( 679 × 681) / 1
LCM(679,681) = 462399 / 1
LCM(679,681) = 462399

Properties of LCM 679 and 681

(i) The LCM of 681 and 679 is associative

LCM of 679 and 681 = LCM of 681 and 679

Related Least Common Multiples of 679

Related Least Common Multiples of 681

Frequently Asked Questions on LCM of 679 and 681

1. What is the LCM of 679 and 681?

Answer: LCM of 679 and 681 is 462399.

2. What are the Factors of 679?

Answer: Factors of 679 are 1, 7, 97, 679. There are 4 integers that are factors of 679. The greatest factor of 679 is 679.

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 679 and 681?

Answer:

Least Common Multiple of 679 and 681 = 462399

Step 1: Find the prime factorization of 679

679 = 7 x 97

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 = 462399 = 3 x 7 x 97 x 227

Step 4: Therefore, the least common multiple of 679 and 681 is 462399.