Least Common Multiple of 681 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 681 and 684 the smallest integer that is 155268 that is divisible by both numbers.

Least Common Multiple (LCM) of 681 and 684 is 155268.

LCM(681,684) = 155268

LCM of 681 and 684

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

LCM of:
and

Least Common Multiple of 681 and 684

LCM of 681 and 684 is 155268

Least common multiple can be found by multiplying the highest exponent prime factors of 681 and 684. First we will calculate the prime factors of 681 and 684.

Prime Factorization of 681


3 681
227 227
1

Prime factors of 681 are 3,227. Prime factorization of 681 in exponential form is:

681 = 31×2271

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 681 and 684.

LCM(681,684) = 22×32×191×2271
LCM(681,684) = 155268

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1, 3, 227, 681

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 681 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 681 and 684, than apply into the LCM equation.

GCF(681,684) = 3
LCM(681,684) = ( 681 × 684) / 3
LCM(681,684) = 465804 / 3
LCM(681,684) = 155268

Properties of LCM 681 and 684

(i) The LCM of 684 and 681 is associative

LCM of 681 and 684 = LCM of 684 and 681

Related Least Common Multiples of 681

Related Least Common Multiples of 684

Frequently Asked Questions on LCM of 681 and 684

1. What is the LCM of 681 and 684?

Answer: LCM of 681 and 684 is 155268.

2. What are the Factors of 681?

Answer: Factors of 681 are 1, 3, 227, 681. There are 4 integers that are factors of 681. The greatest factor of 681 is 681.

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 681 and 684?

Answer:

Least Common Multiple of 681 and 684 = 155268

Step 1: Find the prime factorization of 681

681 = 3 x 227

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 = 155268 = 2 x 2 x 3 x 3 x 19 x 227

Step 4: Therefore, the least common multiple of 681 and 684 is 155268.