Least Common Multiple of 690 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 690 and 696 the smallest integer that is 80040 that is divisible by both numbers.

Least Common Multiple (LCM) of 690 and 696 is 80040.

LCM(690,696) = 80040

LCM of 690 and 696

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

LCM of:
and

Least Common Multiple of 690 and 696

LCM of 690 and 696 is 80040

Least common multiple can be found by multiplying the highest exponent prime factors of 690 and 696. First we will calculate the prime factors of 690 and 696.

Prime Factorization of 690


2 690
3 345
5 115
23 23
1

Prime factors of 690 are 2, 3, 5,23. Prime factorization of 690 in exponential form is:

690 = 21×31×51×231

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 690 and 696.

LCM(690,696) = 23×31×51×231×291
LCM(690,696) = 80040

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 690 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 690 and 696, than apply into the LCM equation.

GCF(690,696) = 6
LCM(690,696) = ( 690 × 696) / 6
LCM(690,696) = 480240 / 6
LCM(690,696) = 80040

Properties of LCM 690 and 696

(i) The LCM of 696 and 690 is associative

LCM of 690 and 696 = LCM of 696 and 690

Related Least Common Multiples of 690

Related Least Common Multiples of 696

Frequently Asked Questions on LCM of 690 and 696

1. What is the LCM of 690 and 696?

Answer: LCM of 690 and 696 is 80040.

2. What are the Factors of 690?

Answer: Factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690. There are 16 integers that are factors of 690. The greatest factor of 690 is 690.

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 690 and 696?

Answer:

Least Common Multiple of 690 and 696 = 80040

Step 1: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

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 = 80040 = 2 x 2 x 2 x 3 x 5 x 23 x 29

Step 4: Therefore, the least common multiple of 690 and 696 is 80040.