Least Common Multiple of 9047 and 9051
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9047 and 9051 the smallest integer that is 81884397 that is divisible by both numbers.
Least Common Multiple (LCM) of 9047 and 9051 is 81884397.
LCM(9047,9051) = 81884397
LCM of 9047 and 9051
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9047 and 9051 by Prime method
- Least Common Multiple of 9047 and 9051 with GCF Formula
LCM of 9047 and 9051 is 81884397
Least common multiple can be found by multiplying the highest exponent prime factors of 9047 and 9051. First we will calculate the prime factors of 9047 and 9051.
Prime Factorization of 9047
| 83 | 9047 |
| 109 | 109 |
| 1 |
Prime factors of 9047 are 83,109. Prime factorization of 9047 in exponential form is:
9047 = 831×1091
Prime Factorization of 9051
| 3 | 9051 |
| 7 | 3017 |
| 431 | 431 |
| 1 |
Prime factors of 9051 are 3, 7,431. Prime factorization of 9051 in exponential form is:
9051 = 31×71×4311
Now multiplying the highest exponent prime factors to calculate the LCM of 9047 and 9051.
LCM(9047,9051) = 31×71×831×1091×4311
LCM(9047,9051) = 81884397
Factors of 9047
List of positive integer factors of 9047 that divides 9047 without a remainder.
1, 83, 109, 9047
Factors of 9051
List of positive integer factors of 9051 that divides 9051 without a remainder.
1, 3, 7, 21, 431, 1293, 3017, 9051
Least Common Multiple of 9047 and 9051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9047 and 9051, than apply into the LCM equation.
GCF(9047,9051) = 1
LCM(9047,9051) = ( 9047 × 9051) / 1
LCM(9047,9051) = 81884397 / 1
LCM(9047,9051) = 81884397
Properties of LCM 9047 and 9051
(i) The LCM of 9051 and 9047 is associative
LCM of 9047 and 9051 = LCM of 9051 and 9047
Related Least Common Multiples of 9047
Related Least Common Multiples of 9051
Frequently Asked Questions on LCM of 9047 and 9051
1. What is the LCM of 9047 and 9051?
Answer: LCM of 9047 and 9051 is 81884397.
2. What are the Factors of 9047?
Answer: Factors of 9047 are 1, 83, 109, 9047. There are 4 integers that are factors of 9047. The greatest factor of 9047 is 9047.
3. What are the Factors of 9051?
Answer: Factors of 9051 are 1, 3, 7, 21, 431, 1293, 3017, 9051. There are 8 integers that are factors of 9051. The greatest factor of 9051 is 9051.
4. How to Find the LCM of 9047 and 9051?
Answer:
Least Common Multiple of 9047 and 9051 = 81884397
Step 1: Find the prime factorization of 9047
9047 = 83 x 109
Step 2: Find the prime factorization of 9051
9051 = 3 x 7 x 431
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 81884397 = 3 x 7 x 83 x 109 x 431
Step 4: Therefore, the least common multiple of 9047 and 9051 is 81884397.