Least Common Multiple of 682 and 690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 682 and 690 the smallest integer that is 235290 that is divisible by both numbers.

Least Common Multiple (LCM) of 682 and 690 is 235290.

LCM(682,690) = 235290

LCM of 682 and 690

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

LCM of:
and

Least Common Multiple of 682 and 690

LCM of 682 and 690 is 235290

Least common multiple can be found by multiplying the highest exponent prime factors of 682 and 690. First we will calculate the prime factors of 682 and 690.

Prime Factorization of 682


2 682
11 341
31 31
1

Prime factors of 682 are 2, 11,31. Prime factorization of 682 in exponential form is:

682 = 21×111×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 682 and 690.

LCM(682,690) = 21×31×51×111×231×311
LCM(682,690) = 235290

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

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

Least Common Multiple of 682 and 690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 682 and 690, than apply into the LCM equation.

GCF(682,690) = 2
LCM(682,690) = ( 682 × 690) / 2
LCM(682,690) = 470580 / 2
LCM(682,690) = 235290

Properties of LCM 682 and 690

(i) The LCM of 690 and 682 is associative

LCM of 682 and 690 = LCM of 690 and 682

Related Least Common Multiples of 682

Related Least Common Multiples of 690

Frequently Asked Questions on LCM of 682 and 690

1. What is the LCM of 682 and 690?

Answer: LCM of 682 and 690 is 235290.

2. What are the Factors of 682?

Answer: Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682. There are 8 integers that are factors of 682. The greatest factor of 682 is 682.

3. 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.

4. How to Find the LCM of 682 and 690?

Answer:

Least Common Multiple of 682 and 690 = 235290

Step 1: Find the prime factorization of 682

682 = 2 x 11 x 31

Step 2: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

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

LCM = 235290 = 2 x 3 x 5 x 11 x 23 x 31

Step 4: Therefore, the least common multiple of 682 and 690 is 235290.