Least Common Multiple of 7021 and 7029
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7021 and 7029 the smallest integer that is 49350609 that is divisible by both numbers.
Least Common Multiple (LCM) of 7021 and 7029 is 49350609.
LCM(7021,7029) = 49350609
LCM of 7021 and 7029
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7021 and 7029 by Prime method
- Least Common Multiple of 7021 and 7029 with GCF Formula
LCM of 7021 and 7029 is 49350609
Least common multiple can be found by multiplying the highest exponent prime factors of 7021 and 7029. First we will calculate the prime factors of 7021 and 7029.
Prime Factorization of 7021
| 7 | 7021 |
| 17 | 1003 |
| 59 | 59 |
| 1 |
Prime factors of 7021 are 7, 17,59. Prime factorization of 7021 in exponential form is:
7021 = 71×171×591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7021 and 7029.
LCM(7021,7029) = 32×71×111×171×591×711
LCM(7021,7029) = 49350609
Factors of 7021
List of positive integer factors of 7021 that divides 7021 without a remainder.
1, 7, 17, 59, 119, 413, 1003, 7021
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
Least Common Multiple of 7021 and 7029 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7021 and 7029, than apply into the LCM equation.
GCF(7021,7029) = 1
LCM(7021,7029) = ( 7021 × 7029) / 1
LCM(7021,7029) = 49350609 / 1
LCM(7021,7029) = 49350609
Properties of LCM 7021 and 7029
(i) The LCM of 7029 and 7021 is associative
LCM of 7021 and 7029 = LCM of 7029 and 7021
Related Least Common Multiples of 7021
Related Least Common Multiples of 7029
Frequently Asked Questions on LCM of 7021 and 7029
1. What is the LCM of 7021 and 7029?
Answer: LCM of 7021 and 7029 is 49350609.
2. What are the Factors of 7021?
Answer: Factors of 7021 are 1, 7, 17, 59, 119, 413, 1003, 7021. There are 8 integers that are factors of 7021. The greatest factor of 7021 is 7021.
3. 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.
4. How to Find the LCM of 7021 and 7029?
Answer:
Least Common Multiple of 7021 and 7029 = 49350609
Step 1: Find the prime factorization of 7021
7021 = 7 x 17 x 59
Step 2: Find the prime factorization of 7029
7029 = 3 x 3 x 11 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49350609 = 3 x 3 x 7 x 11 x 17 x 59 x 71
Step 4: Therefore, the least common multiple of 7021 and 7029 is 49350609.