Least Common Multiple of 689 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 689 and 690 the smallest integer that is 475410 that is divisible by both numbers.

Least Common Multiple (LCM) of 689 and 690 is 475410.

LCM(689,690) = 475410

LCM of 689 and 690

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

LCM of:
and

Least Common Multiple of 689 and 690

LCM of 689 and 690 is 475410

Least common multiple can be found by multiplying the highest exponent prime factors of 689 and 690. First we will calculate the prime factors of 689 and 690.

Prime Factorization of 689


13 689
53 53
1

Prime factors of 689 are 13,53. Prime factorization of 689 in exponential form is:

689 = 131×531

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 689 and 690.

LCM(689,690) = 21×31×51×131×231×531
LCM(689,690) = 475410

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1, 13, 53, 689

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 689 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 689 and 690, than apply into the LCM equation.

GCF(689,690) = 1
LCM(689,690) = ( 689 × 690) / 1
LCM(689,690) = 475410 / 1
LCM(689,690) = 475410

Properties of LCM 689 and 690

(i) The LCM of 690 and 689 is associative

LCM of 689 and 690 = LCM of 690 and 689

Related Least Common Multiples of 689

Related Least Common Multiples of 690

Frequently Asked Questions on LCM of 689 and 690

1. What is the LCM of 689 and 690?

Answer: LCM of 689 and 690 is 475410.

2. What are the Factors of 689?

Answer: Factors of 689 are 1, 13, 53, 689. There are 4 integers that are factors of 689. The greatest factor of 689 is 689.

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 689 and 690?

Answer:

Least Common Multiple of 689 and 690 = 475410

Step 1: Find the prime factorization of 689

689 = 13 x 53

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 = 475410 = 2 x 3 x 5 x 13 x 23 x 53

Step 4: Therefore, the least common multiple of 689 and 690 is 475410.