Least Common Multiple of 4698 and 4703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4698 and 4703 the smallest integer that is 22094694 that is divisible by both numbers.

Least Common Multiple (LCM) of 4698 and 4703 is 22094694.

LCM(4698,4703) = 22094694

LCM of 4698 and 4703

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

LCM of:
and

Least Common Multiple of 4698 and 4703

LCM of 4698 and 4703 is 22094694

Least common multiple can be found by multiplying the highest exponent prime factors of 4698 and 4703. First we will calculate the prime factors of 4698 and 4703.

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

Prime Factorization of 4703


4703 4703
1

Prime factors of 4703 are 4703. Prime factorization of 4703 in exponential form is:

4703 = 47031

Now multiplying the highest exponent prime factors to calculate the LCM of 4698 and 4703.

LCM(4698,4703) = 21×34×291×47031
LCM(4698,4703) = 22094694

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

Factors of 4703

List of positive integer factors of 4703 that divides 4703 without a remainder.

1, 4703

Least Common Multiple of 4698 and 4703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4698 and 4703, than apply into the LCM equation.

GCF(4698,4703) = 1
LCM(4698,4703) = ( 4698 × 4703) / 1
LCM(4698,4703) = 22094694 / 1
LCM(4698,4703) = 22094694

Properties of LCM 4698 and 4703

(i) The LCM of 4703 and 4698 is associative

LCM of 4698 and 4703 = LCM of 4703 and 4698

Related Least Common Multiples of 4698

Related Least Common Multiples of 4703

Frequently Asked Questions on LCM of 4698 and 4703

1. What is the LCM of 4698 and 4703?

Answer: LCM of 4698 and 4703 is 22094694.

2. 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.

3. What are the Factors of 4703?

Answer: Factors of 4703 are 1, 4703. There are 2 integers that are factors of 4703. The greatest factor of 4703 is 4703.

4. How to Find the LCM of 4698 and 4703?

Answer:

Least Common Multiple of 4698 and 4703 = 22094694

Step 1: Find the prime factorization of 4698

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

Step 2: Find the prime factorization of 4703

4703 = 4703

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

LCM = 22094694 = 2 x 3 x 3 x 3 x 3 x 29 x 4703

Step 4: Therefore, the least common multiple of 4698 and 4703 is 22094694.