Least Common Multiple of 4691 and 4698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4691 and 4698 the smallest integer that is 22038318 that is divisible by both numbers.

Least Common Multiple (LCM) of 4691 and 4698 is 22038318.

LCM(4691,4698) = 22038318

LCM of 4691 and 4698

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

LCM of:
and

Least Common Multiple of 4691 and 4698

LCM of 4691 and 4698 is 22038318

Least common multiple can be found by multiplying the highest exponent prime factors of 4691 and 4698. First we will calculate the prime factors of 4691 and 4698.

Prime Factorization of 4691


4691 4691
1

Prime factors of 4691 are 4691. Prime factorization of 4691 in exponential form is:

4691 = 46911

Prime Factorization of 4698


2 4698
3 2349
3 783
3 261
3 87
29 29
1

Prime factors of 4698 are 2, 3,29. Prime factorization of 4698 in exponential form is:

4698 = 21×34×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4691 and 4698.

LCM(4691,4698) = 21×34×291×46911
LCM(4691,4698) = 22038318

Factors of 4691

List of positive integer factors of 4691 that divides 4691 without a remainder.

1, 4691

Factors of 4698

List of positive integer factors of 4698 that divides 4698 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698

Least Common Multiple of 4691 and 4698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4691 and 4698, than apply into the LCM equation.

GCF(4691,4698) = 1
LCM(4691,4698) = ( 4691 × 4698) / 1
LCM(4691,4698) = 22038318 / 1
LCM(4691,4698) = 22038318

Properties of LCM 4691 and 4698

(i) The LCM of 4698 and 4691 is associative

LCM of 4691 and 4698 = LCM of 4698 and 4691

Related Least Common Multiples of 4691

Related Least Common Multiples of 4698

Frequently Asked Questions on LCM of 4691 and 4698

1. What is the LCM of 4691 and 4698?

Answer: LCM of 4691 and 4698 is 22038318.

2. What are the Factors of 4691?

Answer: Factors of 4691 are 1, 4691. There are 2 integers that are factors of 4691. The greatest factor of 4691 is 4691.

3. What are the Factors of 4698?

Answer: Factors of 4698 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698. There are 20 integers that are factors of 4698. The greatest factor of 4698 is 4698.

4. How to Find the LCM of 4691 and 4698?

Answer:

Least Common Multiple of 4691 and 4698 = 22038318

Step 1: Find the prime factorization of 4691

4691 = 4691

Step 2: Find the prime factorization of 4698

4698 = 2 x 3 x 3 x 3 x 3 x 29

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

LCM = 22038318 = 2 x 3 x 3 x 3 x 3 x 29 x 4691

Step 4: Therefore, the least common multiple of 4691 and 4698 is 22038318.