Least Common Multiple of 693 and 700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 693 and 700 the smallest integer that is 69300 that is divisible by both numbers.

Least Common Multiple (LCM) of 693 and 700 is 69300.

LCM(693,700) = 69300

LCM of 693 and 700

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

LCM of:
and

Least Common Multiple of 693 and 700

LCM of 693 and 700 is 69300

Least common multiple can be found by multiplying the highest exponent prime factors of 693 and 700. First we will calculate the prime factors of 693 and 700.

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

Prime Factorization of 700


2 700
2 350
5 175
5 35
7 7
1

Prime factors of 700 are 2, 5,7. Prime factorization of 700 in exponential form is:

700 = 22×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 693 and 700.

LCM(693,700) = 22×32×52×71×111
LCM(693,700) = 69300

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

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Least Common Multiple of 693 and 700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 693 and 700, than apply into the LCM equation.

GCF(693,700) = 7
LCM(693,700) = ( 693 × 700) / 7
LCM(693,700) = 485100 / 7
LCM(693,700) = 69300

Properties of LCM 693 and 700

(i) The LCM of 700 and 693 is associative

LCM of 693 and 700 = LCM of 700 and 693

Related Least Common Multiples of 693

Related Least Common Multiples of 700

Frequently Asked Questions on LCM of 693 and 700

1. What is the LCM of 693 and 700?

Answer: LCM of 693 and 700 is 69300.

2. 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.

3. What are the Factors of 700?

Answer: Factors of 700 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700. There are 18 integers that are factors of 700. The greatest factor of 700 is 700.

4. How to Find the LCM of 693 and 700?

Answer:

Least Common Multiple of 693 and 700 = 69300

Step 1: Find the prime factorization of 693

693 = 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 700

700 = 2 x 2 x 5 x 5 x 7

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

LCM = 69300 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 693 and 700 is 69300.