Least Common Multiple of 692 and 696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 692 and 696 the smallest integer that is 120408 that is divisible by both numbers.

Least Common Multiple (LCM) of 692 and 696 is 120408.

LCM(692,696) = 120408

LCM of 692 and 696

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

LCM of:
and

Least Common Multiple of 692 and 696

LCM of 692 and 696 is 120408

Least common multiple can be found by multiplying the highest exponent prime factors of 692 and 696. First we will calculate the prime factors of 692 and 696.

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

Prime Factorization of 696


2 696
2 348
2 174
3 87
29 29
1

Prime factors of 696 are 2, 3,29. Prime factorization of 696 in exponential form is:

696 = 23×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 692 and 696.

LCM(692,696) = 23×31×291×1731
LCM(692,696) = 120408

Factors of 692

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

1, 2, 4, 173, 346, 692

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Least Common Multiple of 692 and 696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 692 and 696, than apply into the LCM equation.

GCF(692,696) = 4
LCM(692,696) = ( 692 × 696) / 4
LCM(692,696) = 481632 / 4
LCM(692,696) = 120408

Properties of LCM 692 and 696

(i) The LCM of 696 and 692 is associative

LCM of 692 and 696 = LCM of 696 and 692

Related Least Common Multiples of 692

Related Least Common Multiples of 696

Frequently Asked Questions on LCM of 692 and 696

1. What is the LCM of 692 and 696?

Answer: LCM of 692 and 696 is 120408.

2. 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.

3. What are the Factors of 696?

Answer: Factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696. There are 16 integers that are factors of 696. The greatest factor of 696 is 696.

4. How to Find the LCM of 692 and 696?

Answer:

Least Common Multiple of 692 and 696 = 120408

Step 1: Find the prime factorization of 692

692 = 2 x 2 x 173

Step 2: Find the prime factorization of 696

696 = 2 x 2 x 2 x 3 x 29

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

LCM = 120408 = 2 x 2 x 2 x 3 x 29 x 173

Step 4: Therefore, the least common multiple of 692 and 696 is 120408.