Least Common Multiple of 679 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 679 and 682 the smallest integer that is 463078 that is divisible by both numbers.

Least Common Multiple (LCM) of 679 and 682 is 463078.

LCM(679,682) = 463078

LCM of 679 and 682

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

LCM of:
and

Least Common Multiple of 679 and 682

LCM of 679 and 682 is 463078

Least common multiple can be found by multiplying the highest exponent prime factors of 679 and 682. First we will calculate the prime factors of 679 and 682.

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 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 679 and 682.

LCM(679,682) = 21×71×111×311×971
LCM(679,682) = 463078

Factors of 679

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

1, 7, 97, 679

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 679 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 679 and 682, than apply into the LCM equation.

GCF(679,682) = 1
LCM(679,682) = ( 679 × 682) / 1
LCM(679,682) = 463078 / 1
LCM(679,682) = 463078

Properties of LCM 679 and 682

(i) The LCM of 682 and 679 is associative

LCM of 679 and 682 = LCM of 682 and 679

Related Least Common Multiples of 679

Related Least Common Multiples of 682

Frequently Asked Questions on LCM of 679 and 682

1. What is the LCM of 679 and 682?

Answer: LCM of 679 and 682 is 463078.

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 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 679 and 682?

Answer:

Least Common Multiple of 679 and 682 = 463078

Step 1: Find the prime factorization of 679

679 = 7 x 97

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 = 463078 = 2 x 7 x 11 x 31 x 97

Step 4: Therefore, the least common multiple of 679 and 682 is 463078.