Least Common Multiple of 10019 and 10027
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10019 and 10027 the smallest integer that is 100460513 that is divisible by both numbers.
Least Common Multiple (LCM) of 10019 and 10027 is 100460513.
LCM(10019,10027) = 100460513
LCM of 10019 and 10027
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10019 and 10027 by Prime method
- Least Common Multiple of 10019 and 10027 with GCF Formula
LCM of 10019 and 10027 is 100460513
Least common multiple can be found by multiplying the highest exponent prime factors of 10019 and 10027. First we will calculate the prime factors of 10019 and 10027.
Prime Factorization of 10019
| 43 | 10019 |
| 233 | 233 |
| 1 |
Prime factors of 10019 are 43,233. Prime factorization of 10019 in exponential form is:
10019 = 431×2331
Prime Factorization of 10027
| 37 | 10027 |
| 271 | 271 |
| 1 |
Prime factors of 10027 are 37,271. Prime factorization of 10027 in exponential form is:
10027 = 371×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 10019 and 10027.
LCM(10019,10027) = 371×431×2331×2711
LCM(10019,10027) = 100460513
Factors of 10019
List of positive integer factors of 10019 that divides 10019 without a remainder.
1, 43, 233, 10019
Factors of 10027
List of positive integer factors of 10027 that divides 10027 without a remainder.
1, 37, 271, 10027
Least Common Multiple of 10019 and 10027 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10019 and 10027, than apply into the LCM equation.
GCF(10019,10027) = 1
LCM(10019,10027) = ( 10019 × 10027) / 1
LCM(10019,10027) = 100460513 / 1
LCM(10019,10027) = 100460513
Properties of LCM 10019 and 10027
(i) The LCM of 10027 and 10019 is associative
LCM of 10019 and 10027 = LCM of 10027 and 10019
Related Least Common Multiples of 10019
Related Least Common Multiples of 10027
Frequently Asked Questions on LCM of 10019 and 10027
1. What is the LCM of 10019 and 10027?
Answer: LCM of 10019 and 10027 is 100460513.
2. What are the Factors of 10019?
Answer: Factors of 10019 are 1, 43, 233, 10019. There are 4 integers that are factors of 10019. The greatest factor of 10019 is 10019.
3. What are the Factors of 10027?
Answer: Factors of 10027 are 1, 37, 271, 10027. There are 4 integers that are factors of 10027. The greatest factor of 10027 is 10027.
4. How to Find the LCM of 10019 and 10027?
Answer:
Least Common Multiple of 10019 and 10027 = 100460513
Step 1: Find the prime factorization of 10019
10019 = 43 x 233
Step 2: Find the prime factorization of 10027
10027 = 37 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100460513 = 37 x 43 x 233 x 271
Step 4: Therefore, the least common multiple of 10019 and 10027 is 100460513.