Least Common Multiple of 330 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 330 and 693 the smallest integer that is 6930 that is divisible by both numbers.

Least Common Multiple (LCM) of 330 and 693 is 6930.

LCM(330,693) = 6930

LCM of 330 and 693

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

LCM of:
and

Least Common Multiple of 330 and 693

LCM of 330 and 693 is 6930

Least common multiple can be found by multiplying the highest exponent prime factors of 330 and 693. First we will calculate the prime factors of 330 and 693.

Prime Factorization of 330


2 330
3 165
5 55
11 11
1

Prime factors of 330 are 2, 3, 5,11. Prime factorization of 330 in exponential form is:

330 = 21×31×51×111

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 330 and 693.

LCM(330,693) = 21×32×51×71×111
LCM(330,693) = 6930

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

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 330 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 330 and 693, than apply into the LCM equation.

GCF(330,693) = 33
LCM(330,693) = ( 330 × 693) / 33
LCM(330,693) = 228690 / 33
LCM(330,693) = 6930

Properties of LCM 330 and 693

(i) The LCM of 693 and 330 is associative

LCM of 330 and 693 = LCM of 693 and 330

Related Least Common Multiples of 330

Related Least Common Multiples of 693

Frequently Asked Questions on LCM of 330 and 693

1. What is the LCM of 330 and 693?

Answer: LCM of 330 and 693 is 6930.

2. What are the Factors of 330?

Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.

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 330 and 693?

Answer:

Least Common Multiple of 330 and 693 = 6930

Step 1: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

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 = 6930 = 2 x 3 x 3 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 330 and 693 is 6930.