Least Common Multiple of 39033 and 39037
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 39033 and 39037 the smallest integer that is 1523731221 that is divisible by both numbers.
Least Common Multiple (LCM) of 39033 and 39037 is 1523731221.
LCM(39033,39037) = 1523731221
LCM of 39033 and 39037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 39033 and 39037 by Prime method
- Least Common Multiple of 39033 and 39037 with GCF Formula
LCM of 39033 and 39037 is 1523731221
Least common multiple can be found by multiplying the highest exponent prime factors of 39033 and 39037. First we will calculate the prime factors of 39033 and 39037.
Prime Factorization of 39033
| 3 | 39033 |
| 3 | 13011 |
| 4337 | 4337 |
| 1 |
Prime factors of 39033 are 3,4337. Prime factorization of 39033 in exponential form is:
39033 = 32×43371
Prime Factorization of 39037
| 103 | 39037 |
| 379 | 379 |
| 1 |
Prime factors of 39037 are 103,379. Prime factorization of 39037 in exponential form is:
39037 = 1031×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 39033 and 39037.
LCM(39033,39037) = 32×1031×3791×43371
LCM(39033,39037) = 1523731221
Factors of 39033
List of positive integer factors of 39033 that divides 39033 without a remainder.
1, 3, 9, 4337, 13011, 39033
Factors of 39037
List of positive integer factors of 39037 that divides 39037 without a remainder.
1, 103, 379, 39037
Least Common Multiple of 39033 and 39037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39033 and 39037, than apply into the LCM equation.
GCF(39033,39037) = 1
LCM(39033,39037) = ( 39033 × 39037) / 1
LCM(39033,39037) = 1523731221 / 1
LCM(39033,39037) = 1523731221
Properties of LCM 39033 and 39037
(i) The LCM of 39037 and 39033 is associative
LCM of 39033 and 39037 = LCM of 39037 and 39033
Related Least Common Multiples of 39033
Related Least Common Multiples of 39037
Frequently Asked Questions on LCM of 39033 and 39037
1. What is the LCM of 39033 and 39037?
Answer: LCM of 39033 and 39037 is 1523731221.
2. What are the Factors of 39033?
Answer: Factors of 39033 are 1, 3, 9, 4337, 13011, 39033. There are 6 integers that are factors of 39033. The greatest factor of 39033 is 39033.
3. What are the Factors of 39037?
Answer: Factors of 39037 are 1, 103, 379, 39037. There are 4 integers that are factors of 39037. The greatest factor of 39037 is 39037.
4. How to Find the LCM of 39033 and 39037?
Answer:
Least Common Multiple of 39033 and 39037 = 1523731221
Step 1: Find the prime factorization of 39033
39033 = 3 x 3 x 4337
Step 2: Find the prime factorization of 39037
39037 = 103 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1523731221 = 3 x 3 x 103 x 379 x 4337
Step 4: Therefore, the least common multiple of 39033 and 39037 is 1523731221.