Least Common Multiple of 676 and 684

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 684 the smallest integer that is 115596 that is divisible by both numbers.

Least Common Multiple (LCM) of 676 and 684 is 115596.

LCM(676,684) = 115596

LCM of 676 and 684

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

LCM of:
and

Least Common Multiple of 676 and 684

LCM of 676 and 684 is 115596

Least common multiple can be found by multiplying the highest exponent prime factors of 676 and 684. First we will calculate the prime factors of 676 and 684.

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 684


2 684
2 342
3 171
3 57
19 19
1

Prime factors of 684 are 2, 3,19. Prime factorization of 684 in exponential form is:

684 = 22×32×191

Now multiplying the highest exponent prime factors to calculate the LCM of 676 and 684.

LCM(676,684) = 22×32×132×191
LCM(676,684) = 115596

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 684

List of positive integer factors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Least Common Multiple of 676 and 684 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 684, than apply into the LCM equation.

GCF(676,684) = 4
LCM(676,684) = ( 676 × 684) / 4
LCM(676,684) = 462384 / 4
LCM(676,684) = 115596

Properties of LCM 676 and 684

(i) The LCM of 684 and 676 is associative

LCM of 676 and 684 = LCM of 684 and 676

Related Least Common Multiples of 676

Related Least Common Multiples of 684

Frequently Asked Questions on LCM of 676 and 684

1. What is the LCM of 676 and 684?

Answer: LCM of 676 and 684 is 115596.

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 684?

Answer: Factors of 684 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684. There are 18 integers that are factors of 684. The greatest factor of 684 is 684.

4. How to Find the LCM of 676 and 684?

Answer:

Least Common Multiple of 676 and 684 = 115596

Step 1: Find the prime factorization of 676

676 = 2 x 2 x 13 x 13

Step 2: Find the prime factorization of 684

684 = 2 x 2 x 3 x 3 x 19

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

LCM = 115596 = 2 x 2 x 3 x 3 x 13 x 13 x 19

Step 4: Therefore, the least common multiple of 676 and 684 is 115596.