Least Common Multiple of 6069 and 6074
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6069 and 6074 the smallest integer that is 36863106 that is divisible by both numbers.
Least Common Multiple (LCM) of 6069 and 6074 is 36863106.
LCM(6069,6074) = 36863106
LCM of 6069 and 6074
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6069 and 6074 by Prime method
- Least Common Multiple of 6069 and 6074 with GCF Formula
LCM of 6069 and 6074 is 36863106
Least common multiple can be found by multiplying the highest exponent prime factors of 6069 and 6074. First we will calculate the prime factors of 6069 and 6074.
Prime Factorization of 6069
| 3 | 6069 |
| 7 | 2023 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 6069 are 3, 7,17. Prime factorization of 6069 in exponential form is:
6069 = 31×71×172
Prime Factorization of 6074
| 2 | 6074 |
| 3037 | 3037 |
| 1 |
Prime factors of 6074 are 2,3037. Prime factorization of 6074 in exponential form is:
6074 = 21×30371
Now multiplying the highest exponent prime factors to calculate the LCM of 6069 and 6074.
LCM(6069,6074) = 21×31×71×172×30371
LCM(6069,6074) = 36863106
Factors of 6069
List of positive integer factors of 6069 that divides 6069 without a remainder.
1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
Factors of 6074
List of positive integer factors of 6074 that divides 6074 without a remainder.
1, 2, 3037, 6074
Least Common Multiple of 6069 and 6074 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6069 and 6074, than apply into the LCM equation.
GCF(6069,6074) = 1
LCM(6069,6074) = ( 6069 × 6074) / 1
LCM(6069,6074) = 36863106 / 1
LCM(6069,6074) = 36863106
Properties of LCM 6069 and 6074
(i) The LCM of 6074 and 6069 is associative
LCM of 6069 and 6074 = LCM of 6074 and 6069
Related Least Common Multiples of 6069
Related Least Common Multiples of 6074
Frequently Asked Questions on LCM of 6069 and 6074
1. What is the LCM of 6069 and 6074?
Answer: LCM of 6069 and 6074 is 36863106.
2. What are the Factors of 6069?
Answer: Factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069. There are 12 integers that are factors of 6069. The greatest factor of 6069 is 6069.
3. What are the Factors of 6074?
Answer: Factors of 6074 are 1, 2, 3037, 6074. There are 4 integers that are factors of 6074. The greatest factor of 6074 is 6074.
4. How to Find the LCM of 6069 and 6074?
Answer:
Least Common Multiple of 6069 and 6074 = 36863106
Step 1: Find the prime factorization of 6069
6069 = 3 x 7 x 17 x 17
Step 2: Find the prime factorization of 6074
6074 = 2 x 3037
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36863106 = 2 x 3 x 7 x 17 x 17 x 3037
Step 4: Therefore, the least common multiple of 6069 and 6074 is 36863106.