Least Common Multiple of 693 and 695

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 695 the smallest integer that is 481635 that is divisible by both numbers.

Least Common Multiple (LCM) of 693 and 695 is 481635.

LCM(693,695) = 481635

LCM of 693 and 695

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

LCM of:
and

Least Common Multiple of 693 and 695

LCM of 693 and 695 is 481635

Least common multiple can be found by multiplying the highest exponent prime factors of 693 and 695. First we will calculate the prime factors of 693 and 695.

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 695


5 695
139 139
1

Prime factors of 695 are 5,139. Prime factorization of 695 in exponential form is:

695 = 51×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 693 and 695.

LCM(693,695) = 32×51×71×111×1391
LCM(693,695) = 481635

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 695

List of positive integer factors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Least Common Multiple of 693 and 695 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 695, than apply into the LCM equation.

GCF(693,695) = 1
LCM(693,695) = ( 693 × 695) / 1
LCM(693,695) = 481635 / 1
LCM(693,695) = 481635

Properties of LCM 693 and 695

(i) The LCM of 695 and 693 is associative

LCM of 693 and 695 = LCM of 695 and 693

Related Least Common Multiples of 693

Related Least Common Multiples of 695

Frequently Asked Questions on LCM of 693 and 695

1. What is the LCM of 693 and 695?

Answer: LCM of 693 and 695 is 481635.

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 695?

Answer: Factors of 695 are 1, 5, 139, 695. There are 4 integers that are factors of 695. The greatest factor of 695 is 695.

4. How to Find the LCM of 693 and 695?

Answer:

Least Common Multiple of 693 and 695 = 481635

Step 1: Find the prime factorization of 693

693 = 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 695

695 = 5 x 139

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

LCM = 481635 = 3 x 3 x 5 x 7 x 11 x 139

Step 4: Therefore, the least common multiple of 693 and 695 is 481635.