Least Common Multiple of 3047 and 3053
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3047 and 3053 the smallest integer that is 9302491 that is divisible by both numbers.
Least Common Multiple (LCM) of 3047 and 3053 is 9302491.
LCM(3047,3053) = 9302491
LCM of 3047 and 3053
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3047 and 3053 by Prime method
- Least Common Multiple of 3047 and 3053 with GCF Formula
LCM of 3047 and 3053 is 9302491
Least common multiple can be found by multiplying the highest exponent prime factors of 3047 and 3053. First we will calculate the prime factors of 3047 and 3053.
Prime Factorization of 3047
| 11 | 3047 |
| 277 | 277 |
| 1 |
Prime factors of 3047 are 11,277. Prime factorization of 3047 in exponential form is:
3047 = 111×2771
Prime Factorization of 3053
| 43 | 3053 |
| 71 | 71 |
| 1 |
Prime factors of 3053 are 43,71. Prime factorization of 3053 in exponential form is:
3053 = 431×711
Now multiplying the highest exponent prime factors to calculate the LCM of 3047 and 3053.
LCM(3047,3053) = 111×431×711×2771
LCM(3047,3053) = 9302491
Factors of 3047
List of positive integer factors of 3047 that divides 3047 without a remainder.
1, 11, 277, 3047
Factors of 3053
List of positive integer factors of 3053 that divides 3053 without a remainder.
1, 43, 71, 3053
Least Common Multiple of 3047 and 3053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3047 and 3053, than apply into the LCM equation.
GCF(3047,3053) = 1
LCM(3047,3053) = ( 3047 × 3053) / 1
LCM(3047,3053) = 9302491 / 1
LCM(3047,3053) = 9302491
Properties of LCM 3047 and 3053
(i) The LCM of 3053 and 3047 is associative
LCM of 3047 and 3053 = LCM of 3053 and 3047
Related Least Common Multiples of 3047
Related Least Common Multiples of 3053
Frequently Asked Questions on LCM of 3047 and 3053
1. What is the LCM of 3047 and 3053?
Answer: LCM of 3047 and 3053 is 9302491.
2. What are the Factors of 3047?
Answer: Factors of 3047 are 1, 11, 277, 3047. There are 4 integers that are factors of 3047. The greatest factor of 3047 is 3047.
3. What are the Factors of 3053?
Answer: Factors of 3053 are 1, 43, 71, 3053. There are 4 integers that are factors of 3053. The greatest factor of 3053 is 3053.
4. How to Find the LCM of 3047 and 3053?
Answer:
Least Common Multiple of 3047 and 3053 = 9302491
Step 1: Find the prime factorization of 3047
3047 = 11 x 277
Step 2: Find the prime factorization of 3053
3053 = 43 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 = 9302491 = 11 x 43 x 71 x 277
Step 4: Therefore, the least common multiple of 3047 and 3053 is 9302491.