Least Common Multiple of 7038 and 7045
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7038 and 7045 the smallest integer that is 49582710 that is divisible by both numbers.
Least Common Multiple (LCM) of 7038 and 7045 is 49582710.
LCM(7038,7045) = 49582710
LCM of 7038 and 7045
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7038 and 7045 by Prime method
- Least Common Multiple of 7038 and 7045 with GCF Formula
LCM of 7038 and 7045 is 49582710
Least common multiple can be found by multiplying the highest exponent prime factors of 7038 and 7045. First we will calculate the prime factors of 7038 and 7045.
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
Prime Factorization of 7045
| 5 | 7045 |
| 1409 | 1409 |
| 1 |
Prime factors of 7045 are 5,1409. Prime factorization of 7045 in exponential form is:
7045 = 51×14091
Now multiplying the highest exponent prime factors to calculate the LCM of 7038 and 7045.
LCM(7038,7045) = 21×32×51×171×231×14091
LCM(7038,7045) = 49582710
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
Factors of 7045
List of positive integer factors of 7045 that divides 7045 without a remainder.
1, 5, 1409, 7045
Least Common Multiple of 7038 and 7045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7038 and 7045, than apply into the LCM equation.
GCF(7038,7045) = 1
LCM(7038,7045) = ( 7038 × 7045) / 1
LCM(7038,7045) = 49582710 / 1
LCM(7038,7045) = 49582710
Properties of LCM 7038 and 7045
(i) The LCM of 7045 and 7038 is associative
LCM of 7038 and 7045 = LCM of 7045 and 7038
Related Least Common Multiples of 7038
Related Least Common Multiples of 7045
Frequently Asked Questions on LCM of 7038 and 7045
1. What is the LCM of 7038 and 7045?
Answer: LCM of 7038 and 7045 is 49582710.
2. 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.
3. What are the Factors of 7045?
Answer: Factors of 7045 are 1, 5, 1409, 7045. There are 4 integers that are factors of 7045. The greatest factor of 7045 is 7045.
4. How to Find the LCM of 7038 and 7045?
Answer:
Least Common Multiple of 7038 and 7045 = 49582710
Step 1: Find the prime factorization of 7038
7038 = 2 x 3 x 3 x 17 x 23
Step 2: Find the prime factorization of 7045
7045 = 5 x 1409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49582710 = 2 x 3 x 3 x 5 x 17 x 23 x 1409
Step 4: Therefore, the least common multiple of 7038 and 7045 is 49582710.