Least Common Multiple of 67033 and 67039
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 67033 and 67039 the smallest integer that is 4493825287 that is divisible by both numbers.
Least Common Multiple (LCM) of 67033 and 67039 is 4493825287.
LCM(67033,67039) = 4493825287
LCM of 67033 and 67039
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 67033 and 67039 by Prime method
- Least Common Multiple of 67033 and 67039 with GCF Formula
LCM of 67033 and 67039 is 4493825287
Least common multiple can be found by multiplying the highest exponent prime factors of 67033 and 67039. First we will calculate the prime factors of 67033 and 67039.
Prime Factorization of 67033
| 67033 | 67033 |
| 1 |
Prime factors of 67033 are 67033. Prime factorization of 67033 in exponential form is:
67033 = 670331
Prime Factorization of 67039
| 7 | 67039 |
| 61 | 9577 |
| 157 | 157 |
| 1 |
Prime factors of 67039 are 7, 61,157. Prime factorization of 67039 in exponential form is:
67039 = 71×611×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 67033 and 67039.
LCM(67033,67039) = 71×611×1571×670331
LCM(67033,67039) = 4493825287
Factors of 67033
List of positive integer factors of 67033 that divides 67033 without a remainder.
1, 67033
Factors of 67039
List of positive integer factors of 67039 that divides 67039 without a remainder.
1, 7, 61, 157, 427, 1099, 9577, 67039
Least Common Multiple of 67033 and 67039 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67033 and 67039, than apply into the LCM equation.
GCF(67033,67039) = 1
LCM(67033,67039) = ( 67033 × 67039) / 1
LCM(67033,67039) = 4493825287 / 1
LCM(67033,67039) = 4493825287
Properties of LCM 67033 and 67039
(i) The LCM of 67039 and 67033 is associative
LCM of 67033 and 67039 = LCM of 67039 and 67033
Related Least Common Multiples of 67033
Related Least Common Multiples of 67039
Frequently Asked Questions on LCM of 67033 and 67039
1. What is the LCM of 67033 and 67039?
Answer: LCM of 67033 and 67039 is 4493825287.
2. What are the Factors of 67033?
Answer: Factors of 67033 are 1, 67033. There are 2 integers that are factors of 67033. The greatest factor of 67033 is 67033.
3. What are the Factors of 67039?
Answer: Factors of 67039 are 1, 7, 61, 157, 427, 1099, 9577, 67039. There are 8 integers that are factors of 67039. The greatest factor of 67039 is 67039.
4. How to Find the LCM of 67033 and 67039?
Answer:
Least Common Multiple of 67033 and 67039 = 4493825287
Step 1: Find the prime factorization of 67033
67033 = 67033
Step 2: Find the prime factorization of 67039
67039 = 7 x 61 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4493825287 = 7 x 61 x 157 x 67033
Step 4: Therefore, the least common multiple of 67033 and 67039 is 4493825287.