Least Common Multiple of 7038 and 7043
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 7043 the smallest integer that is 49568634 that is divisible by both numbers.
Least Common Multiple (LCM) of 7038 and 7043 is 49568634.
LCM(7038,7043) = 49568634
LCM of 7038 and 7043
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7038 and 7043 by Prime method
- Least Common Multiple of 7038 and 7043 with GCF Formula
LCM of 7038 and 7043 is 49568634
Least common multiple can be found by multiplying the highest exponent prime factors of 7038 and 7043. First we will calculate the prime factors of 7038 and 7043.
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 7043
| 7043 | 7043 |
| 1 |
Prime factors of 7043 are 7043. Prime factorization of 7043 in exponential form is:
7043 = 70431
Now multiplying the highest exponent prime factors to calculate the LCM of 7038 and 7043.
LCM(7038,7043) = 21×32×171×231×70431
LCM(7038,7043) = 49568634
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 7043
List of positive integer factors of 7043 that divides 7043 without a remainder.
1, 7043
Least Common Multiple of 7038 and 7043 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 7043, than apply into the LCM equation.
GCF(7038,7043) = 1
LCM(7038,7043) = ( 7038 × 7043) / 1
LCM(7038,7043) = 49568634 / 1
LCM(7038,7043) = 49568634
Properties of LCM 7038 and 7043
(i) The LCM of 7043 and 7038 is associative
LCM of 7038 and 7043 = LCM of 7043 and 7038
Related Least Common Multiples of 7038
Related Least Common Multiples of 7043
Frequently Asked Questions on LCM of 7038 and 7043
1. What is the LCM of 7038 and 7043?
Answer: LCM of 7038 and 7043 is 49568634.
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 7043?
Answer: Factors of 7043 are 1, 7043. There are 2 integers that are factors of 7043. The greatest factor of 7043 is 7043.
4. How to Find the LCM of 7038 and 7043?
Answer:
Least Common Multiple of 7038 and 7043 = 49568634
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 7043
7043 = 7043
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49568634 = 2 x 3 x 3 x 17 x 23 x 7043
Step 4: Therefore, the least common multiple of 7038 and 7043 is 49568634.