Least Common Multiple of 10098 and 10102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10098 and 10102 the smallest integer that is 51004998 that is divisible by both numbers.

Least Common Multiple (LCM) of 10098 and 10102 is 51004998.

LCM(10098,10102) = 51004998

LCM of 10098 and 10102

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

LCM of:
and

Least Common Multiple of 10098 and 10102

LCM of 10098 and 10102 is 51004998

Least common multiple can be found by multiplying the highest exponent prime factors of 10098 and 10102. First we will calculate the prime factors of 10098 and 10102.

Prime Factorization of 10098


2 10098
3 5049
3 1683
3 561
11 187
17 17
1

Prime factors of 10098 are 2, 3, 11,17. Prime factorization of 10098 in exponential form is:

10098 = 21×33×111×171

Prime Factorization of 10102


2 10102
5051 5051
1

Prime factors of 10102 are 2,5051. Prime factorization of 10102 in exponential form is:

10102 = 21×50511

Now multiplying the highest exponent prime factors to calculate the LCM of 10098 and 10102.

LCM(10098,10102) = 21×33×111×171×50511
LCM(10098,10102) = 51004998

Factors of 10098

List of positive integer factors of 10098 that divides 10098 without a remainder.

1, 2, 3, 6, 9, 11, 17, 18, 22, 27, 33, 34, 51, 54, 66, 99, 102, 153, 187, 198, 297, 306, 374, 459, 561, 594, 918, 1122, 1683, 3366, 5049, 10098

Factors of 10102

List of positive integer factors of 10102 that divides 10102 without a remainder.

1, 2, 5051, 10102

Least Common Multiple of 10098 and 10102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10098 and 10102, than apply into the LCM equation.

GCF(10098,10102) = 2
LCM(10098,10102) = ( 10098 × 10102) / 2
LCM(10098,10102) = 102009996 / 2
LCM(10098,10102) = 51004998

Properties of LCM 10098 and 10102

(i) The LCM of 10102 and 10098 is associative

LCM of 10098 and 10102 = LCM of 10102 and 10098

Related Least Common Multiples of 10098

Related Least Common Multiples of 10102

Frequently Asked Questions on LCM of 10098 and 10102

1. What is the LCM of 10098 and 10102?

Answer: LCM of 10098 and 10102 is 51004998.

2. What are the Factors of 10098?

Answer: Factors of 10098 are 1, 2, 3, 6, 9, 11, 17, 18, 22, 27, 33, 34, 51, 54, 66, 99, 102, 153, 187, 198, 297, 306, 374, 459, 561, 594, 918, 1122, 1683, 3366, 5049, 10098. There are 32 integers that are factors of 10098. The greatest factor of 10098 is 10098.

3. What are the Factors of 10102?

Answer: Factors of 10102 are 1, 2, 5051, 10102. There are 4 integers that are factors of 10102. The greatest factor of 10102 is 10102.

4. How to Find the LCM of 10098 and 10102?

Answer:

Least Common Multiple of 10098 and 10102 = 51004998

Step 1: Find the prime factorization of 10098

10098 = 2 x 3 x 3 x 3 x 11 x 17

Step 2: Find the prime factorization of 10102

10102 = 2 x 5051

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

LCM = 51004998 = 2 x 3 x 3 x 3 x 11 x 17 x 5051

Step 4: Therefore, the least common multiple of 10098 and 10102 is 51004998.