Least Common Multiple of 691 and 699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 691 and 699 the smallest integer that is 483009 that is divisible by both numbers.

Least Common Multiple (LCM) of 691 and 699 is 483009.

LCM(691,699) = 483009

LCM of 691 and 699

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

LCM of:
and

Least Common Multiple of 691 and 699

LCM of 691 and 699 is 483009

Least common multiple can be found by multiplying the highest exponent prime factors of 691 and 699. First we will calculate the prime factors of 691 and 699.

Prime Factorization of 691


691 691
1

Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:

691 = 6911

Prime Factorization of 699


3 699
233 233
1

Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:

699 = 31×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 691 and 699.

LCM(691,699) = 31×2331×6911
LCM(691,699) = 483009

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1, 691

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Least Common Multiple of 691 and 699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 691 and 699, than apply into the LCM equation.

GCF(691,699) = 1
LCM(691,699) = ( 691 × 699) / 1
LCM(691,699) = 483009 / 1
LCM(691,699) = 483009

Properties of LCM 691 and 699

(i) The LCM of 699 and 691 is associative

LCM of 691 and 699 = LCM of 699 and 691

Related Least Common Multiples of 691

Related Least Common Multiples of 699

Frequently Asked Questions on LCM of 691 and 699

1. What is the LCM of 691 and 699?

Answer: LCM of 691 and 699 is 483009.

2. What are the Factors of 691?

Answer: Factors of 691 are 1, 691. There are 2 integers that are factors of 691. The greatest factor of 691 is 691.

3. What are the Factors of 699?

Answer: Factors of 699 are 1, 3, 233, 699. There are 4 integers that are factors of 699. The greatest factor of 699 is 699.

4. How to Find the LCM of 691 and 699?

Answer:

Least Common Multiple of 691 and 699 = 483009

Step 1: Find the prime factorization of 691

691 = 691

Step 2: Find the prime factorization of 699

699 = 3 x 233

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

LCM = 483009 = 3 x 233 x 691

Step 4: Therefore, the least common multiple of 691 and 699 is 483009.