Least Common Multiple of 684 and 691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 684 and 691 the smallest integer that is 472644 that is divisible by both numbers.

Least Common Multiple (LCM) of 684 and 691 is 472644.

LCM(684,691) = 472644

LCM of 684 and 691

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

LCM of:
and

Least Common Multiple of 684 and 691

LCM of 684 and 691 is 472644

Least common multiple can be found by multiplying the highest exponent prime factors of 684 and 691. First we will calculate the prime factors of 684 and 691.

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

Prime Factorization of 691


691 691
1

Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:

691 = 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 684 and 691.

LCM(684,691) = 22×32×191×6911
LCM(684,691) = 472644

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

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1, 691

Least Common Multiple of 684 and 691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 684 and 691, than apply into the LCM equation.

GCF(684,691) = 1
LCM(684,691) = ( 684 × 691) / 1
LCM(684,691) = 472644 / 1
LCM(684,691) = 472644

Properties of LCM 684 and 691

(i) The LCM of 691 and 684 is associative

LCM of 684 and 691 = LCM of 691 and 684

Related Least Common Multiples of 684

Related Least Common Multiples of 691

Frequently Asked Questions on LCM of 684 and 691

1. What is the LCM of 684 and 691?

Answer: LCM of 684 and 691 is 472644.

2. 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.

3. What are the Factors of 691?

Answer: Factors of 691 are 1, 691. There are 2 integers that are factors of 691. The greatest factor of 691 is 691.

4. How to Find the LCM of 684 and 691?

Answer:

Least Common Multiple of 684 and 691 = 472644

Step 1: Find the prime factorization of 684

684 = 2 x 2 x 3 x 3 x 19

Step 2: Find the prime factorization of 691

691 = 691

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

LCM = 472644 = 2 x 2 x 3 x 3 x 19 x 691

Step 4: Therefore, the least common multiple of 684 and 691 is 472644.