Least Common Multiple of 679 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 679 and 686 the smallest integer that is 66542 that is divisible by both numbers.

Least Common Multiple (LCM) of 679 and 686 is 66542.

LCM(679,686) = 66542

LCM of 679 and 686

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

LCM of:
and

Least Common Multiple of 679 and 686

LCM of 679 and 686 is 66542

Least common multiple can be found by multiplying the highest exponent prime factors of 679 and 686. First we will calculate the prime factors of 679 and 686.

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 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 679 and 686.

LCM(679,686) = 21×73×971
LCM(679,686) = 66542

Factors of 679

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

1, 7, 97, 679

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 679 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 679 and 686, than apply into the LCM equation.

GCF(679,686) = 7
LCM(679,686) = ( 679 × 686) / 7
LCM(679,686) = 465794 / 7
LCM(679,686) = 66542

Properties of LCM 679 and 686

(i) The LCM of 686 and 679 is associative

LCM of 679 and 686 = LCM of 686 and 679

Related Least Common Multiples of 679

Related Least Common Multiples of 686

Frequently Asked Questions on LCM of 679 and 686

1. What is the LCM of 679 and 686?

Answer: LCM of 679 and 686 is 66542.

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 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 679 and 686?

Answer:

Least Common Multiple of 679 and 686 = 66542

Step 1: Find the prime factorization of 679

679 = 7 x 97

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 = 66542 = 2 x 7 x 7 x 7 x 97

Step 4: Therefore, the least common multiple of 679 and 686 is 66542.