Least Common Multiple of 10098 and 10104

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 10104 the smallest integer that is 17005032 that is divisible by both numbers.

Least Common Multiple (LCM) of 10098 and 10104 is 17005032.

LCM(10098,10104) = 17005032

LCM of 10098 and 10104

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

LCM of:
and

Least Common Multiple of 10098 and 10104

LCM of 10098 and 10104 is 17005032

Least common multiple can be found by multiplying the highest exponent prime factors of 10098 and 10104. First we will calculate the prime factors of 10098 and 10104.

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 10104


2 10104
2 5052
2 2526
3 1263
421 421
1

Prime factors of 10104 are 2, 3,421. Prime factorization of 10104 in exponential form is:

10104 = 23×31×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 10098 and 10104.

LCM(10098,10104) = 23×33×111×171×4211
LCM(10098,10104) = 17005032

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 10104

List of positive integer factors of 10104 that divides 10104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 421, 842, 1263, 1684, 2526, 3368, 5052, 10104

Least Common Multiple of 10098 and 10104 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 10104, than apply into the LCM equation.

GCF(10098,10104) = 6
LCM(10098,10104) = ( 10098 × 10104) / 6
LCM(10098,10104) = 102030192 / 6
LCM(10098,10104) = 17005032

Properties of LCM 10098 and 10104

(i) The LCM of 10104 and 10098 is associative

LCM of 10098 and 10104 = LCM of 10104 and 10098

Related Least Common Multiples of 10098

Related Least Common Multiples of 10104

Frequently Asked Questions on LCM of 10098 and 10104

1. What is the LCM of 10098 and 10104?

Answer: LCM of 10098 and 10104 is 17005032.

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 10104?

Answer: Factors of 10104 are 1, 2, 3, 4, 6, 8, 12, 24, 421, 842, 1263, 1684, 2526, 3368, 5052, 10104. There are 16 integers that are factors of 10104. The greatest factor of 10104 is 10104.

4. How to Find the LCM of 10098 and 10104?

Answer:

Least Common Multiple of 10098 and 10104 = 17005032

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 10104

10104 = 2 x 2 x 2 x 3 x 421

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

LCM = 17005032 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 17 x 421

Step 4: Therefore, the least common multiple of 10098 and 10104 is 17005032.