Least Common Multiple of 4098 and 4100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4098 and 4100 the smallest integer that is 8400900 that is divisible by both numbers.

Least Common Multiple (LCM) of 4098 and 4100 is 8400900.

LCM(4098,4100) = 8400900

LCM of 4098 and 4100

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

LCM of:
and

Least Common Multiple of 4098 and 4100

LCM of 4098 and 4100 is 8400900

Least common multiple can be found by multiplying the highest exponent prime factors of 4098 and 4100. First we will calculate the prime factors of 4098 and 4100.

Prime Factorization of 4098


2 4098
3 2049
683 683
1

Prime factors of 4098 are 2, 3,683. Prime factorization of 4098 in exponential form is:

4098 = 21×31×6831

Prime Factorization of 4100


2 4100
2 2050
5 1025
5 205
41 41
1

Prime factors of 4100 are 2, 5,41. Prime factorization of 4100 in exponential form is:

4100 = 22×52×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4098 and 4100.

LCM(4098,4100) = 22×31×52×411×6831
LCM(4098,4100) = 8400900

Factors of 4098

List of positive integer factors of 4098 that divides 4098 without a remainder.

1, 2, 3, 6, 683, 1366, 2049, 4098

Factors of 4100

List of positive integer factors of 4100 that divides 4100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100

Least Common Multiple of 4098 and 4100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4098 and 4100, than apply into the LCM equation.

GCF(4098,4100) = 2
LCM(4098,4100) = ( 4098 × 4100) / 2
LCM(4098,4100) = 16801800 / 2
LCM(4098,4100) = 8400900

Properties of LCM 4098 and 4100

(i) The LCM of 4100 and 4098 is associative

LCM of 4098 and 4100 = LCM of 4100 and 4098

Related Least Common Multiples of 4098

Related Least Common Multiples of 4100

Frequently Asked Questions on LCM of 4098 and 4100

1. What is the LCM of 4098 and 4100?

Answer: LCM of 4098 and 4100 is 8400900.

2. What are the Factors of 4098?

Answer: Factors of 4098 are 1, 2, 3, 6, 683, 1366, 2049, 4098. There are 8 integers that are factors of 4098. The greatest factor of 4098 is 4098.

3. What are the Factors of 4100?

Answer: Factors of 4100 are 1, 2, 4, 5, 10, 20, 25, 41, 50, 82, 100, 164, 205, 410, 820, 1025, 2050, 4100. There are 18 integers that are factors of 4100. The greatest factor of 4100 is 4100.

4. How to Find the LCM of 4098 and 4100?

Answer:

Least Common Multiple of 4098 and 4100 = 8400900

Step 1: Find the prime factorization of 4098

4098 = 2 x 3 x 683

Step 2: Find the prime factorization of 4100

4100 = 2 x 2 x 5 x 5 x 41

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

LCM = 8400900 = 2 x 2 x 3 x 5 x 5 x 41 x 683

Step 4: Therefore, the least common multiple of 4098 and 4100 is 8400900.