Least Common Multiple of 10203 and 10211
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10203 and 10211 the smallest integer that is 104182833 that is divisible by both numbers.
Least Common Multiple (LCM) of 10203 and 10211 is 104182833.
LCM(10203,10211) = 104182833
LCM of 10203 and 10211
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10203 and 10211 by Prime method
- Least Common Multiple of 10203 and 10211 with GCF Formula
LCM of 10203 and 10211 is 104182833
Least common multiple can be found by multiplying the highest exponent prime factors of 10203 and 10211. First we will calculate the prime factors of 10203 and 10211.
Prime Factorization of 10203
| 3 | 10203 |
| 19 | 3401 |
| 179 | 179 |
| 1 |
Prime factors of 10203 are 3, 19,179. Prime factorization of 10203 in exponential form is:
10203 = 31×191×1791
Prime Factorization of 10211
| 10211 | 10211 |
| 1 |
Prime factors of 10211 are 10211. Prime factorization of 10211 in exponential form is:
10211 = 102111
Now multiplying the highest exponent prime factors to calculate the LCM of 10203 and 10211.
LCM(10203,10211) = 31×191×1791×102111
LCM(10203,10211) = 104182833
Factors of 10203
List of positive integer factors of 10203 that divides 10203 without a remainder.
1, 3, 19, 57, 179, 537, 3401, 10203
Factors of 10211
List of positive integer factors of 10211 that divides 10211 without a remainder.
1, 10211
Least Common Multiple of 10203 and 10211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10203 and 10211, than apply into the LCM equation.
GCF(10203,10211) = 1
LCM(10203,10211) = ( 10203 × 10211) / 1
LCM(10203,10211) = 104182833 / 1
LCM(10203,10211) = 104182833
Properties of LCM 10203 and 10211
(i) The LCM of 10211 and 10203 is associative
LCM of 10203 and 10211 = LCM of 10211 and 10203
Related Least Common Multiples of 10203
Related Least Common Multiples of 10211
Frequently Asked Questions on LCM of 10203 and 10211
1. What is the LCM of 10203 and 10211?
Answer: LCM of 10203 and 10211 is 104182833.
2. What are the Factors of 10203?
Answer: Factors of 10203 are 1, 3, 19, 57, 179, 537, 3401, 10203. There are 8 integers that are factors of 10203. The greatest factor of 10203 is 10203.
3. What are the Factors of 10211?
Answer: Factors of 10211 are 1, 10211. There are 2 integers that are factors of 10211. The greatest factor of 10211 is 10211.
4. How to Find the LCM of 10203 and 10211?
Answer:
Least Common Multiple of 10203 and 10211 = 104182833
Step 1: Find the prime factorization of 10203
10203 = 3 x 19 x 179
Step 2: Find the prime factorization of 10211
10211 = 10211
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104182833 = 3 x 19 x 179 x 10211
Step 4: Therefore, the least common multiple of 10203 and 10211 is 104182833.