Least Common Multiple of 676 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 676 and 680 the smallest integer that is 114920 that is divisible by both numbers.

Least Common Multiple (LCM) of 676 and 680 is 114920.

LCM(676,680) = 114920

LCM of 676 and 680

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

LCM of:
and

Least Common Multiple of 676 and 680

LCM of 676 and 680 is 114920

Least common multiple can be found by multiplying the highest exponent prime factors of 676 and 680. First we will calculate the prime factors of 676 and 680.

Prime Factorization of 676


2 676
2 338
13 169
13 13
1

Prime factors of 676 are 2,13. Prime factorization of 676 in exponential form is:

676 = 22×132

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 676 and 680.

LCM(676,680) = 23×51×132×171
LCM(676,680) = 114920

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 676 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 676 and 680, than apply into the LCM equation.

GCF(676,680) = 4
LCM(676,680) = ( 676 × 680) / 4
LCM(676,680) = 459680 / 4
LCM(676,680) = 114920

Properties of LCM 676 and 680

(i) The LCM of 680 and 676 is associative

LCM of 676 and 680 = LCM of 680 and 676

Related Least Common Multiples of 676

Related Least Common Multiples of 680

Frequently Asked Questions on LCM of 676 and 680

1. What is the LCM of 676 and 680?

Answer: LCM of 676 and 680 is 114920.

2. What are the Factors of 676?

Answer: Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676. There are 9 integers that are factors of 676. The greatest factor of 676 is 676.

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 676 and 680?

Answer:

Least Common Multiple of 676 and 680 = 114920

Step 1: Find the prime factorization of 676

676 = 2 x 2 x 13 x 13

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 = 114920 = 2 x 2 x 2 x 5 x 13 x 13 x 17

Step 4: Therefore, the least common multiple of 676 and 680 is 114920.