Least Common Multiple of 679 and 680

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 680 the smallest integer that is 461720 that is divisible by both numbers.

Least Common Multiple (LCM) of 679 and 680 is 461720.

LCM(679,680) = 461720

LCM of 679 and 680

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

LCM of:
and

Least Common Multiple of 679 and 680

LCM of 679 and 680 is 461720

Least common multiple can be found by multiplying the highest exponent prime factors of 679 and 680. First we will calculate the prime factors of 679 and 680.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 679 and 680.

LCM(679,680) = 23×51×71×171×971
LCM(679,680) = 461720

Factors of 679

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

1, 7, 97, 679

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

Least Common Multiple of 679 and 680 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 680, than apply into the LCM equation.

GCF(679,680) = 1
LCM(679,680) = ( 679 × 680) / 1
LCM(679,680) = 461720 / 1
LCM(679,680) = 461720

Properties of LCM 679 and 680

(i) The LCM of 680 and 679 is associative

LCM of 679 and 680 = LCM of 680 and 679

Related Least Common Multiples of 679

Related Least Common Multiples of 680

Frequently Asked Questions on LCM of 679 and 680

1. What is the LCM of 679 and 680?

Answer: LCM of 679 and 680 is 461720.

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 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.

4. How to Find the LCM of 679 and 680?

Answer:

Least Common Multiple of 679 and 680 = 461720

Step 1: Find the prime factorization of 679

679 = 7 x 97

Step 2: Find the prime factorization of 680

680 = 2 x 2 x 2 x 5 x 17

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

LCM = 461720 = 2 x 2 x 2 x 5 x 7 x 17 x 97

Step 4: Therefore, the least common multiple of 679 and 680 is 461720.