Least Common Multiple of 36013 and 36019
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36013 and 36019 the smallest integer that is 1297152247 that is divisible by both numbers.
Least Common Multiple (LCM) of 36013 and 36019 is 1297152247.
LCM(36013,36019) = 1297152247
LCM of 36013 and 36019
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36013 and 36019 by Prime method
- Least Common Multiple of 36013 and 36019 with GCF Formula
LCM of 36013 and 36019 is 1297152247
Least common multiple can be found by multiplying the highest exponent prime factors of 36013 and 36019. First we will calculate the prime factors of 36013 and 36019.
Prime Factorization of 36013
| 36013 | 36013 |
| 1 |
Prime factors of 36013 are 36013. Prime factorization of 36013 in exponential form is:
36013 = 360131
Prime Factorization of 36019
| 181 | 36019 |
| 199 | 199 |
| 1 |
Prime factors of 36019 are 181,199. Prime factorization of 36019 in exponential form is:
36019 = 1811×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 36013 and 36019.
LCM(36013,36019) = 1811×1991×360131
LCM(36013,36019) = 1297152247
Factors of 36013
List of positive integer factors of 36013 that divides 36013 without a remainder.
1, 36013
Factors of 36019
List of positive integer factors of 36019 that divides 36019 without a remainder.
1, 181, 199, 36019
Least Common Multiple of 36013 and 36019 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36013 and 36019, than apply into the LCM equation.
GCF(36013,36019) = 1
LCM(36013,36019) = ( 36013 × 36019) / 1
LCM(36013,36019) = 1297152247 / 1
LCM(36013,36019) = 1297152247
Properties of LCM 36013 and 36019
(i) The LCM of 36019 and 36013 is associative
LCM of 36013 and 36019 = LCM of 36019 and 36013
Related Least Common Multiples of 36013
Related Least Common Multiples of 36019
Frequently Asked Questions on LCM of 36013 and 36019
1. What is the LCM of 36013 and 36019?
Answer: LCM of 36013 and 36019 is 1297152247.
2. What are the Factors of 36013?
Answer: Factors of 36013 are 1, 36013. There are 2 integers that are factors of 36013. The greatest factor of 36013 is 36013.
3. What are the Factors of 36019?
Answer: Factors of 36019 are 1, 181, 199, 36019. There are 4 integers that are factors of 36019. The greatest factor of 36019 is 36019.
4. How to Find the LCM of 36013 and 36019?
Answer:
Least Common Multiple of 36013 and 36019 = 1297152247
Step 1: Find the prime factorization of 36013
36013 = 36013
Step 2: Find the prime factorization of 36019
36019 = 181 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1297152247 = 181 x 199 x 36013
Step 4: Therefore, the least common multiple of 36013 and 36019 is 1297152247.