Least Common Multiple of 36029 and 36037
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 36029 and 36037 the smallest integer that is 1298377073 that is divisible by both numbers.
Least Common Multiple (LCM) of 36029 and 36037 is 1298377073.
LCM(36029,36037) = 1298377073
LCM of 36029 and 36037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 36029 and 36037 by Prime method
- Least Common Multiple of 36029 and 36037 with GCF Formula
LCM of 36029 and 36037 is 1298377073
Least common multiple can be found by multiplying the highest exponent prime factors of 36029 and 36037. First we will calculate the prime factors of 36029 and 36037.
Prime Factorization of 36029
| 7 | 36029 |
| 5147 | 5147 |
| 1 |
Prime factors of 36029 are 7,5147. Prime factorization of 36029 in exponential form is:
36029 = 71×51471
Prime Factorization of 36037
| 36037 | 36037 |
| 1 |
Prime factors of 36037 are 36037. Prime factorization of 36037 in exponential form is:
36037 = 360371
Now multiplying the highest exponent prime factors to calculate the LCM of 36029 and 36037.
LCM(36029,36037) = 71×51471×360371
LCM(36029,36037) = 1298377073
Factors of 36029
List of positive integer factors of 36029 that divides 36029 without a remainder.
1, 7, 5147, 36029
Factors of 36037
List of positive integer factors of 36037 that divides 36037 without a remainder.
1, 36037
Least Common Multiple of 36029 and 36037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36029 and 36037, than apply into the LCM equation.
GCF(36029,36037) = 1
LCM(36029,36037) = ( 36029 × 36037) / 1
LCM(36029,36037) = 1298377073 / 1
LCM(36029,36037) = 1298377073
Properties of LCM 36029 and 36037
(i) The LCM of 36037 and 36029 is associative
LCM of 36029 and 36037 = LCM of 36037 and 36029
Related Least Common Multiples of 36029
Related Least Common Multiples of 36037
Frequently Asked Questions on LCM of 36029 and 36037
1. What is the LCM of 36029 and 36037?
Answer: LCM of 36029 and 36037 is 1298377073.
2. What are the Factors of 36029?
Answer: Factors of 36029 are 1, 7, 5147, 36029. There are 4 integers that are factors of 36029. The greatest factor of 36029 is 36029.
3. What are the Factors of 36037?
Answer: Factors of 36037 are 1, 36037. There are 2 integers that are factors of 36037. The greatest factor of 36037 is 36037.
4. How to Find the LCM of 36029 and 36037?
Answer:
Least Common Multiple of 36029 and 36037 = 1298377073
Step 1: Find the prime factorization of 36029
36029 = 7 x 5147
Step 2: Find the prime factorization of 36037
36037 = 36037
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1298377073 = 7 x 5147 x 36037
Step 4: Therefore, the least common multiple of 36029 and 36037 is 1298377073.