Least Common Multiple of 3069 and 3074
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3069 and 3074 the smallest integer that is 9434106 that is divisible by both numbers.
Least Common Multiple (LCM) of 3069 and 3074 is 9434106.
LCM(3069,3074) = 9434106
LCM of 3069 and 3074
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3069 and 3074 by Prime method
- Least Common Multiple of 3069 and 3074 with GCF Formula
LCM of 3069 and 3074 is 9434106
Least common multiple can be found by multiplying the highest exponent prime factors of 3069 and 3074. First we will calculate the prime factors of 3069 and 3074.
Prime Factorization of 3069
| 3 | 3069 |
| 3 | 1023 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 3069 are 3, 11,31. Prime factorization of 3069 in exponential form is:
3069 = 32×111×311
Prime Factorization of 3074
| 2 | 3074 |
| 29 | 1537 |
| 53 | 53 |
| 1 |
Prime factors of 3074 are 2, 29,53. Prime factorization of 3074 in exponential form is:
3074 = 21×291×531
Now multiplying the highest exponent prime factors to calculate the LCM of 3069 and 3074.
LCM(3069,3074) = 21×32×111×291×311×531
LCM(3069,3074) = 9434106
Factors of 3069
List of positive integer factors of 3069 that divides 3069 without a remainder.
1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069
Factors of 3074
List of positive integer factors of 3074 that divides 3074 without a remainder.
1, 2, 29, 53, 58, 106, 1537, 3074
Least Common Multiple of 3069 and 3074 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3069 and 3074, than apply into the LCM equation.
GCF(3069,3074) = 1
LCM(3069,3074) = ( 3069 × 3074) / 1
LCM(3069,3074) = 9434106 / 1
LCM(3069,3074) = 9434106
Properties of LCM 3069 and 3074
(i) The LCM of 3074 and 3069 is associative
LCM of 3069 and 3074 = LCM of 3074 and 3069
Related Least Common Multiples of 3069
Related Least Common Multiples of 3074
Frequently Asked Questions on LCM of 3069 and 3074
1. What is the LCM of 3069 and 3074?
Answer: LCM of 3069 and 3074 is 9434106.
2. What are the Factors of 3069?
Answer: Factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069. There are 12 integers that are factors of 3069. The greatest factor of 3069 is 3069.
3. What are the Factors of 3074?
Answer: Factors of 3074 are 1, 2, 29, 53, 58, 106, 1537, 3074. There are 8 integers that are factors of 3074. The greatest factor of 3074 is 3074.
4. How to Find the LCM of 3069 and 3074?
Answer:
Least Common Multiple of 3069 and 3074 = 9434106
Step 1: Find the prime factorization of 3069
3069 = 3 x 3 x 11 x 31
Step 2: Find the prime factorization of 3074
3074 = 2 x 29 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9434106 = 2 x 3 x 3 x 11 x 29 x 31 x 53
Step 4: Therefore, the least common multiple of 3069 and 3074 is 9434106.