Least Common Multiple of 10027 and 10033
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10027 and 10033 the smallest integer that is 100600891 that is divisible by both numbers.
Least Common Multiple (LCM) of 10027 and 10033 is 100600891.
LCM(10027,10033) = 100600891
LCM of 10027 and 10033
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10027 and 10033 by Prime method
- Least Common Multiple of 10027 and 10033 with GCF Formula
LCM of 10027 and 10033 is 100600891
Least common multiple can be found by multiplying the highest exponent prime factors of 10027 and 10033. First we will calculate the prime factors of 10027 and 10033.
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
Prime Factorization of 10033
| 79 | 10033 |
| 127 | 127 |
| 1 |
Prime factors of 10033 are 79,127. Prime factorization of 10033 in exponential form is:
10033 = 791×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 10027 and 10033.
LCM(10027,10033) = 371×791×1271×2711
LCM(10027,10033) = 100600891
Factors of 10027
List of positive integer factors of 10027 that divides 10027 without a remainder.
1, 37, 271, 10027
Factors of 10033
List of positive integer factors of 10033 that divides 10033 without a remainder.
1, 79, 127, 10033
Least Common Multiple of 10027 and 10033 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10027 and 10033, than apply into the LCM equation.
GCF(10027,10033) = 1
LCM(10027,10033) = ( 10027 × 10033) / 1
LCM(10027,10033) = 100600891 / 1
LCM(10027,10033) = 100600891
Properties of LCM 10027 and 10033
(i) The LCM of 10033 and 10027 is associative
LCM of 10027 and 10033 = LCM of 10033 and 10027
Related Least Common Multiples of 10027
Related Least Common Multiples of 10033
Frequently Asked Questions on LCM of 10027 and 10033
1. What is the LCM of 10027 and 10033?
Answer: LCM of 10027 and 10033 is 100600891.
2. 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.
3. What are the Factors of 10033?
Answer: Factors of 10033 are 1, 79, 127, 10033. There are 4 integers that are factors of 10033. The greatest factor of 10033 is 10033.
4. How to Find the LCM of 10027 and 10033?
Answer:
Least Common Multiple of 10027 and 10033 = 100600891
Step 1: Find the prime factorization of 10027
10027 = 37 x 271
Step 2: Find the prime factorization of 10033
10033 = 79 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 100600891 = 37 x 79 x 127 x 271
Step 4: Therefore, the least common multiple of 10027 and 10033 is 100600891.