Least Common Multiple of 36089 and 36097
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36089 and 36097 the smallest integer that is 1302704633 that is divisible by both numbers.
Least Common Multiple (LCM) of 36089 and 36097 is 1302704633.
LCM(36089,36097) = 1302704633
LCM of 36089 and 36097
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36089 and 36097 by Prime method
- Least Common Multiple of 36089 and 36097 with GCF Formula
LCM of 36089 and 36097 is 1302704633
Least common multiple can be found by multiplying the highest exponent prime factors of 36089 and 36097. First we will calculate the prime factors of 36089 and 36097.
Prime Factorization of 36089
| 151 | 36089 |
| 239 | 239 |
| 1 |
Prime factors of 36089 are 151,239. Prime factorization of 36089 in exponential form is:
36089 = 1511×2391
Prime Factorization of 36097
| 36097 | 36097 |
| 1 |
Prime factors of 36097 are 36097. Prime factorization of 36097 in exponential form is:
36097 = 360971
Now multiplying the highest exponent prime factors to calculate the LCM of 36089 and 36097.
LCM(36089,36097) = 1511×2391×360971
LCM(36089,36097) = 1302704633
Factors of 36089
List of positive integer factors of 36089 that divides 36089 without a remainder.
1, 151, 239, 36089
Factors of 36097
List of positive integer factors of 36097 that divides 36097 without a remainder.
1, 36097
Least Common Multiple of 36089 and 36097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36089 and 36097, than apply into the LCM equation.
GCF(36089,36097) = 1
LCM(36089,36097) = ( 36089 × 36097) / 1
LCM(36089,36097) = 1302704633 / 1
LCM(36089,36097) = 1302704633
Properties of LCM 36089 and 36097
(i) The LCM of 36097 and 36089 is associative
LCM of 36089 and 36097 = LCM of 36097 and 36089
Related Least Common Multiples of 36089
Related Least Common Multiples of 36097
Frequently Asked Questions on LCM of 36089 and 36097
1. What is the LCM of 36089 and 36097?
Answer: LCM of 36089 and 36097 is 1302704633.
2. What are the Factors of 36089?
Answer: Factors of 36089 are 1, 151, 239, 36089. There are 4 integers that are factors of 36089. The greatest factor of 36089 is 36089.
3. What are the Factors of 36097?
Answer: Factors of 36097 are 1, 36097. There are 2 integers that are factors of 36097. The greatest factor of 36097 is 36097.
4. How to Find the LCM of 36089 and 36097?
Answer:
Least Common Multiple of 36089 and 36097 = 1302704633
Step 1: Find the prime factorization of 36089
36089 = 151 x 239
Step 2: Find the prime factorization of 36097
36097 = 36097
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1302704633 = 151 x 239 x 36097
Step 4: Therefore, the least common multiple of 36089 and 36097 is 1302704633.