Least Common Multiple of 687 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 687 and 690 the smallest integer that is 158010 that is divisible by both numbers.

Least Common Multiple (LCM) of 687 and 690 is 158010.

LCM(687,690) = 158010

LCM of 687 and 690

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

LCM of:
and

Least Common Multiple of 687 and 690

LCM of 687 and 690 is 158010

Least common multiple can be found by multiplying the highest exponent prime factors of 687 and 690. First we will calculate the prime factors of 687 and 690.

Prime Factorization of 687


3 687
229 229
1

Prime factors of 687 are 3,229. Prime factorization of 687 in exponential form is:

687 = 31×2291

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 687 and 690.

LCM(687,690) = 21×31×51×231×2291
LCM(687,690) = 158010

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1, 3, 229, 687

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 687 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 687 and 690, than apply into the LCM equation.

GCF(687,690) = 3
LCM(687,690) = ( 687 × 690) / 3
LCM(687,690) = 474030 / 3
LCM(687,690) = 158010

Properties of LCM 687 and 690

(i) The LCM of 690 and 687 is associative

LCM of 687 and 690 = LCM of 690 and 687

Related Least Common Multiples of 687

Related Least Common Multiples of 690

Frequently Asked Questions on LCM of 687 and 690

1. What is the LCM of 687 and 690?

Answer: LCM of 687 and 690 is 158010.

2. What are the Factors of 687?

Answer: Factors of 687 are 1, 3, 229, 687. There are 4 integers that are factors of 687. The greatest factor of 687 is 687.

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 687 and 690?

Answer:

Least Common Multiple of 687 and 690 = 158010

Step 1: Find the prime factorization of 687

687 = 3 x 229

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 = 158010 = 2 x 3 x 5 x 23 x 229

Step 4: Therefore, the least common multiple of 687 and 690 is 158010.