Least Common Multiple of 690 and 693

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 693 the smallest integer that is 159390 that is divisible by both numbers.

Least Common Multiple (LCM) of 690 and 693 is 159390.

LCM(690,693) = 159390

LCM of 690 and 693

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

LCM of:
and

Least Common Multiple of 690 and 693

LCM of 690 and 693 is 159390

Least common multiple can be found by multiplying the highest exponent prime factors of 690 and 693. First we will calculate the prime factors of 690 and 693.

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 693


3 693
3 231
7 77
11 11
1

Prime factors of 693 are 3, 7,11. Prime factorization of 693 in exponential form is:

693 = 32×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 690 and 693.

LCM(690,693) = 21×32×51×71×111×231
LCM(690,693) = 159390

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 693

List of positive integer factors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Least Common Multiple of 690 and 693 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 693, than apply into the LCM equation.

GCF(690,693) = 3
LCM(690,693) = ( 690 × 693) / 3
LCM(690,693) = 478170 / 3
LCM(690,693) = 159390

Properties of LCM 690 and 693

(i) The LCM of 693 and 690 is associative

LCM of 690 and 693 = LCM of 693 and 690

Related Least Common Multiples of 690

Related Least Common Multiples of 693

Frequently Asked Questions on LCM of 690 and 693

1. What is the LCM of 690 and 693?

Answer: LCM of 690 and 693 is 159390.

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 693?

Answer: Factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693. There are 12 integers that are factors of 693. The greatest factor of 693 is 693.

4. How to Find the LCM of 690 and 693?

Answer:

Least Common Multiple of 690 and 693 = 159390

Step 1: Find the prime factorization of 690

690 = 2 x 3 x 5 x 23

Step 2: Find the prime factorization of 693

693 = 3 x 3 x 7 x 11

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

LCM = 159390 = 2 x 3 x 3 x 5 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 690 and 693 is 159390.