Least Common Multiple of 687 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 687 and 693 the smallest integer that is 158697 that is divisible by both numbers.

Least Common Multiple (LCM) of 687 and 693 is 158697.

LCM(687,693) = 158697

LCM of 687 and 693

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

LCM of:
and

Least Common Multiple of 687 and 693

LCM of 687 and 693 is 158697

Least common multiple can be found by multiplying the highest exponent prime factors of 687 and 693. First we will calculate the prime factors of 687 and 693.

Prime Factorization of 687


3 687
229 229
1

Prime factors of 687 are 3,229. Prime factorization of 687 in exponential form is:

687 = 31×2291

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 687 and 693.

LCM(687,693) = 32×71×111×2291
LCM(687,693) = 158697

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1, 3, 229, 687

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 687 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 687 and 693, than apply into the LCM equation.

GCF(687,693) = 3
LCM(687,693) = ( 687 × 693) / 3
LCM(687,693) = 476091 / 3
LCM(687,693) = 158697

Properties of LCM 687 and 693

(i) The LCM of 693 and 687 is associative

LCM of 687 and 693 = LCM of 693 and 687

Related Least Common Multiples of 687

Related Least Common Multiples of 693

Frequently Asked Questions on LCM of 687 and 693

1. What is the LCM of 687 and 693?

Answer: LCM of 687 and 693 is 158697.

2. What are the Factors of 687?

Answer: Factors of 687 are 1, 3, 229, 687. There are 4 integers that are factors of 687. The greatest factor of 687 is 687.

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 687 and 693?

Answer:

Least Common Multiple of 687 and 693 = 158697

Step 1: Find the prime factorization of 687

687 = 3 x 229

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 = 158697 = 3 x 3 x 7 x 11 x 229

Step 4: Therefore, the least common multiple of 687 and 693 is 158697.