Least Common Multiple of 684 and 692

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 692 the smallest integer that is 118332 that is divisible by both numbers.

Least Common Multiple (LCM) of 684 and 692 is 118332.

LCM(684,692) = 118332

LCM of 684 and 692

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

LCM of:
and

Least Common Multiple of 684 and 692

LCM of 684 and 692 is 118332

Least common multiple can be found by multiplying the highest exponent prime factors of 684 and 692. First we will calculate the prime factors of 684 and 692.

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 692


2 692
2 346
173 173
1

Prime factors of 692 are 2,173. Prime factorization of 692 in exponential form is:

692 = 22×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 684 and 692.

LCM(684,692) = 22×32×191×1731
LCM(684,692) = 118332

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 692

List of positive integer factors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Least Common Multiple of 684 and 692 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 692, than apply into the LCM equation.

GCF(684,692) = 4
LCM(684,692) = ( 684 × 692) / 4
LCM(684,692) = 473328 / 4
LCM(684,692) = 118332

Properties of LCM 684 and 692

(i) The LCM of 692 and 684 is associative

LCM of 684 and 692 = LCM of 692 and 684

Related Least Common Multiples of 684

Related Least Common Multiples of 692

Frequently Asked Questions on LCM of 684 and 692

1. What is the LCM of 684 and 692?

Answer: LCM of 684 and 692 is 118332.

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 692?

Answer: Factors of 692 are 1, 2, 4, 173, 346, 692. There are 6 integers that are factors of 692. The greatest factor of 692 is 692.

4. How to Find the LCM of 684 and 692?

Answer:

Least Common Multiple of 684 and 692 = 118332

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 692

692 = 2 x 2 x 173

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

LCM = 118332 = 2 x 2 x 3 x 3 x 19 x 173

Step 4: Therefore, the least common multiple of 684 and 692 is 118332.