Least Common Multiple of 690 and 697

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 697 the smallest integer that is 480930 that is divisible by both numbers.

Least Common Multiple (LCM) of 690 and 697 is 480930.

LCM(690,697) = 480930

LCM of 690 and 697

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

LCM of:
and

Least Common Multiple of 690 and 697

LCM of 690 and 697 is 480930

Least common multiple can be found by multiplying the highest exponent prime factors of 690 and 697. First we will calculate the prime factors of 690 and 697.

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 697


17 697
41 41
1

Prime factors of 697 are 17,41. Prime factorization of 697 in exponential form is:

697 = 171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 690 and 697.

LCM(690,697) = 21×31×51×171×231×411
LCM(690,697) = 480930

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 697

List of positive integer factors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Least Common Multiple of 690 and 697 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 697, than apply into the LCM equation.

GCF(690,697) = 1
LCM(690,697) = ( 690 × 697) / 1
LCM(690,697) = 480930 / 1
LCM(690,697) = 480930

Properties of LCM 690 and 697

(i) The LCM of 697 and 690 is associative

LCM of 690 and 697 = LCM of 697 and 690

Related Least Common Multiples of 690

Related Least Common Multiples of 697

Frequently Asked Questions on LCM of 690 and 697

1. What is the LCM of 690 and 697?

Answer: LCM of 690 and 697 is 480930.

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 697?

Answer: Factors of 697 are 1, 17, 41, 697. There are 4 integers that are factors of 697. The greatest factor of 697 is 697.

4. How to Find the LCM of 690 and 697?

Answer:

Least Common Multiple of 690 and 697 = 480930

Step 1: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

Step 2: Find the prime factorization of 697

697 = 17 x 41

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

LCM = 480930 = 2 x 3 x 5 x 17 x 23 x 41

Step 4: Therefore, the least common multiple of 690 and 697 is 480930.