Least Common Multiple of 7029 and 7037
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7029 and 7037 the smallest integer that is 49463073 that is divisible by both numbers.
Least Common Multiple (LCM) of 7029 and 7037 is 49463073.
LCM(7029,7037) = 49463073
LCM of 7029 and 7037
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7029 and 7037 by Prime method
- Least Common Multiple of 7029 and 7037 with GCF Formula
LCM of 7029 and 7037 is 49463073
Least common multiple can be found by multiplying the highest exponent prime factors of 7029 and 7037. First we will calculate the prime factors of 7029 and 7037.
Prime Factorization of 7029
| 3 | 7029 |
| 3 | 2343 |
| 11 | 781 |
| 71 | 71 |
| 1 |
Prime factors of 7029 are 3, 11,71. Prime factorization of 7029 in exponential form is:
7029 = 32×111×711
Prime Factorization of 7037
| 31 | 7037 |
| 227 | 227 |
| 1 |
Prime factors of 7037 are 31,227. Prime factorization of 7037 in exponential form is:
7037 = 311×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 7029 and 7037.
LCM(7029,7037) = 32×111×311×711×2271
LCM(7029,7037) = 49463073
Factors of 7029
List of positive integer factors of 7029 that divides 7029 without a remainder.
1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029
Factors of 7037
List of positive integer factors of 7037 that divides 7037 without a remainder.
1, 31, 227, 7037
Least Common Multiple of 7029 and 7037 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7029 and 7037, than apply into the LCM equation.
GCF(7029,7037) = 1
LCM(7029,7037) = ( 7029 × 7037) / 1
LCM(7029,7037) = 49463073 / 1
LCM(7029,7037) = 49463073
Properties of LCM 7029 and 7037
(i) The LCM of 7037 and 7029 is associative
LCM of 7029 and 7037 = LCM of 7037 and 7029
Related Least Common Multiples of 7029
Related Least Common Multiples of 7037
Frequently Asked Questions on LCM of 7029 and 7037
1. What is the LCM of 7029 and 7037?
Answer: LCM of 7029 and 7037 is 49463073.
2. What are the Factors of 7029?
Answer: Factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029. There are 12 integers that are factors of 7029. The greatest factor of 7029 is 7029.
3. What are the Factors of 7037?
Answer: Factors of 7037 are 1, 31, 227, 7037. There are 4 integers that are factors of 7037. The greatest factor of 7037 is 7037.
4. How to Find the LCM of 7029 and 7037?
Answer:
Least Common Multiple of 7029 and 7037 = 49463073
Step 1: Find the prime factorization of 7029
7029 = 3 x 3 x 11 x 71
Step 2: Find the prime factorization of 7037
7037 = 31 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49463073 = 3 x 3 x 11 x 31 x 71 x 227
Step 4: Therefore, the least common multiple of 7029 and 7037 is 49463073.