Least Common Multiple of 4098 and 4102

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 4102 the smallest integer that is 8404998 that is divisible by both numbers.

Least Common Multiple (LCM) of 4098 and 4102 is 8404998.

LCM(4098,4102) = 8404998

LCM of 4098 and 4102

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

LCM of:
and

Least Common Multiple of 4098 and 4102

LCM of 4098 and 4102 is 8404998

Least common multiple can be found by multiplying the highest exponent prime factors of 4098 and 4102. First we will calculate the prime factors of 4098 and 4102.

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 4102


2 4102
7 2051
293 293
1

Prime factors of 4102 are 2, 7,293. Prime factorization of 4102 in exponential form is:

4102 = 21×71×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 4098 and 4102.

LCM(4098,4102) = 21×31×71×2931×6831
LCM(4098,4102) = 8404998

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 4102

List of positive integer factors of 4102 that divides 4102 without a remainder.

1, 2, 7, 14, 293, 586, 2051, 4102

Least Common Multiple of 4098 and 4102 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 4102, than apply into the LCM equation.

GCF(4098,4102) = 2
LCM(4098,4102) = ( 4098 × 4102) / 2
LCM(4098,4102) = 16809996 / 2
LCM(4098,4102) = 8404998

Properties of LCM 4098 and 4102

(i) The LCM of 4102 and 4098 is associative

LCM of 4098 and 4102 = LCM of 4102 and 4098

Related Least Common Multiples of 4098

Related Least Common Multiples of 4102

Frequently Asked Questions on LCM of 4098 and 4102

1. What is the LCM of 4098 and 4102?

Answer: LCM of 4098 and 4102 is 8404998.

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 4102?

Answer: Factors of 4102 are 1, 2, 7, 14, 293, 586, 2051, 4102. There are 8 integers that are factors of 4102. The greatest factor of 4102 is 4102.

4. How to Find the LCM of 4098 and 4102?

Answer:

Least Common Multiple of 4098 and 4102 = 8404998

Step 1: Find the prime factorization of 4098

4098 = 2 x 3 x 683

Step 2: Find the prime factorization of 4102

4102 = 2 x 7 x 293

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

LCM = 8404998 = 2 x 3 x 7 x 293 x 683

Step 4: Therefore, the least common multiple of 4098 and 4102 is 8404998.