Least Common Multiple of 10091 and 10098
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10091 and 10098 the smallest integer that is 101898918 that is divisible by both numbers.
Least Common Multiple (LCM) of 10091 and 10098 is 101898918.
LCM(10091,10098) = 101898918
LCM of 10091 and 10098
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10091 and 10098 by Prime method
- Least Common Multiple of 10091 and 10098 with GCF Formula
LCM of 10091 and 10098 is 101898918
Least common multiple can be found by multiplying the highest exponent prime factors of 10091 and 10098. First we will calculate the prime factors of 10091 and 10098.
Prime Factorization of 10091
| 10091 | 10091 |
| 1 |
Prime factors of 10091 are 10091. Prime factorization of 10091 in exponential form is:
10091 = 100911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 10091 and 10098.
LCM(10091,10098) = 21×33×111×171×100911
LCM(10091,10098) = 101898918
Factors of 10091
List of positive integer factors of 10091 that divides 10091 without a remainder.
1, 10091
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
Least Common Multiple of 10091 and 10098 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10091 and 10098, than apply into the LCM equation.
GCF(10091,10098) = 1
LCM(10091,10098) = ( 10091 × 10098) / 1
LCM(10091,10098) = 101898918 / 1
LCM(10091,10098) = 101898918
Properties of LCM 10091 and 10098
(i) The LCM of 10098 and 10091 is associative
LCM of 10091 and 10098 = LCM of 10098 and 10091
Related Least Common Multiples of 10091
Related Least Common Multiples of 10098
Frequently Asked Questions on LCM of 10091 and 10098
1. What is the LCM of 10091 and 10098?
Answer: LCM of 10091 and 10098 is 101898918.
2. What are the Factors of 10091?
Answer: Factors of 10091 are 1, 10091. There are 2 integers that are factors of 10091. The greatest factor of 10091 is 10091.
3. 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.
4. How to Find the LCM of 10091 and 10098?
Answer:
Least Common Multiple of 10091 and 10098 = 101898918
Step 1: Find the prime factorization of 10091
10091 = 10091
Step 2: Find the prime factorization of 10098
10098 = 2 x 3 x 3 x 3 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101898918 = 2 x 3 x 3 x 3 x 11 x 17 x 10091
Step 4: Therefore, the least common multiple of 10091 and 10098 is 101898918.