Least Common Multiple of 7033 and 7038
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7033 and 7038 the smallest integer that is 49498254 that is divisible by both numbers.
Least Common Multiple (LCM) of 7033 and 7038 is 49498254.
LCM(7033,7038) = 49498254
LCM of 7033 and 7038
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7033 and 7038 by Prime method
- Least Common Multiple of 7033 and 7038 with GCF Formula
LCM of 7033 and 7038 is 49498254
Least common multiple can be found by multiplying the highest exponent prime factors of 7033 and 7038. First we will calculate the prime factors of 7033 and 7038.
Prime Factorization of 7033
| 13 | 7033 |
| 541 | 541 |
| 1 |
Prime factors of 7033 are 13,541. Prime factorization of 7033 in exponential form is:
7033 = 131×5411
Prime Factorization of 7038
| 2 | 7038 |
| 3 | 3519 |
| 3 | 1173 |
| 17 | 391 |
| 23 | 23 |
| 1 |
Prime factors of 7038 are 2, 3, 17,23. Prime factorization of 7038 in exponential form is:
7038 = 21×32×171×231
Now multiplying the highest exponent prime factors to calculate the LCM of 7033 and 7038.
LCM(7033,7038) = 21×32×131×171×231×5411
LCM(7033,7038) = 49498254
Factors of 7033
List of positive integer factors of 7033 that divides 7033 without a remainder.
1, 13, 541, 7033
Factors of 7038
List of positive integer factors of 7038 that divides 7038 without a remainder.
1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038
Least Common Multiple of 7033 and 7038 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7033 and 7038, than apply into the LCM equation.
GCF(7033,7038) = 1
LCM(7033,7038) = ( 7033 × 7038) / 1
LCM(7033,7038) = 49498254 / 1
LCM(7033,7038) = 49498254
Properties of LCM 7033 and 7038
(i) The LCM of 7038 and 7033 is associative
LCM of 7033 and 7038 = LCM of 7038 and 7033
Related Least Common Multiples of 7033
Related Least Common Multiples of 7038
Frequently Asked Questions on LCM of 7033 and 7038
1. What is the LCM of 7033 and 7038?
Answer: LCM of 7033 and 7038 is 49498254.
2. What are the Factors of 7033?
Answer: Factors of 7033 are 1, 13, 541, 7033. There are 4 integers that are factors of 7033. The greatest factor of 7033 is 7033.
3. What are the Factors of 7038?
Answer: Factors of 7038 are 1, 2, 3, 6, 9, 17, 18, 23, 34, 46, 51, 69, 102, 138, 153, 207, 306, 391, 414, 782, 1173, 2346, 3519, 7038. There are 24 integers that are factors of 7038. The greatest factor of 7038 is 7038.
4. How to Find the LCM of 7033 and 7038?
Answer:
Least Common Multiple of 7033 and 7038 = 49498254
Step 1: Find the prime factorization of 7033
7033 = 13 x 541
Step 2: Find the prime factorization of 7038
7038 = 2 x 3 x 3 x 17 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49498254 = 2 x 3 x 3 x 13 x 17 x 23 x 541
Step 4: Therefore, the least common multiple of 7033 and 7038 is 49498254.