Least Common Multiple of 691 and 698

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 698 the smallest integer that is 482318 that is divisible by both numbers.

Least Common Multiple (LCM) of 691 and 698 is 482318.

LCM(691,698) = 482318

LCM of 691 and 698

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

LCM of:
and

Least Common Multiple of 691 and 698

LCM of 691 and 698 is 482318

Least common multiple can be found by multiplying the highest exponent prime factors of 691 and 698. First we will calculate the prime factors of 691 and 698.

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 698


2 698
349 349
1

Prime factors of 698 are 2,349. Prime factorization of 698 in exponential form is:

698 = 21×3491

Now multiplying the highest exponent prime factors to calculate the LCM of 691 and 698.

LCM(691,698) = 21×3491×6911
LCM(691,698) = 482318

Factors of 691

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

1, 691

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Least Common Multiple of 691 and 698 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 698, than apply into the LCM equation.

GCF(691,698) = 1
LCM(691,698) = ( 691 × 698) / 1
LCM(691,698) = 482318 / 1
LCM(691,698) = 482318

Properties of LCM 691 and 698

(i) The LCM of 698 and 691 is associative

LCM of 691 and 698 = LCM of 698 and 691

Related Least Common Multiples of 691

Related Least Common Multiples of 698

Frequently Asked Questions on LCM of 691 and 698

1. What is the LCM of 691 and 698?

Answer: LCM of 691 and 698 is 482318.

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 698?

Answer: Factors of 698 are 1, 2, 349, 698. There are 4 integers that are factors of 698. The greatest factor of 698 is 698.

4. How to Find the LCM of 691 and 698?

Answer:

Least Common Multiple of 691 and 698 = 482318

Step 1: Find the prime factorization of 691

691 = 691

Step 2: Find the prime factorization of 698

698 = 2 x 349

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

LCM = 482318 = 2 x 349 x 691

Step 4: Therefore, the least common multiple of 691 and 698 is 482318.