Least Common Multiple of 7061 and 7068
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7061 and 7068 the smallest integer that is 49907148 that is divisible by both numbers.
Least Common Multiple (LCM) of 7061 and 7068 is 49907148.
LCM(7061,7068) = 49907148
LCM of 7061 and 7068
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7061 and 7068 by Prime method
- Least Common Multiple of 7061 and 7068 with GCF Formula
LCM of 7061 and 7068 is 49907148
Least common multiple can be found by multiplying the highest exponent prime factors of 7061 and 7068. First we will calculate the prime factors of 7061 and 7068.
Prime Factorization of 7061
| 23 | 7061 |
| 307 | 307 |
| 1 |
Prime factors of 7061 are 23,307. Prime factorization of 7061 in exponential form is:
7061 = 231×3071
Prime Factorization of 7068
| 2 | 7068 |
| 2 | 3534 |
| 3 | 1767 |
| 19 | 589 |
| 31 | 31 |
| 1 |
Prime factors of 7068 are 2, 3, 19,31. Prime factorization of 7068 in exponential form is:
7068 = 22×31×191×311
Now multiplying the highest exponent prime factors to calculate the LCM of 7061 and 7068.
LCM(7061,7068) = 22×31×191×231×311×3071
LCM(7061,7068) = 49907148
Factors of 7061
List of positive integer factors of 7061 that divides 7061 without a remainder.
1, 23, 307, 7061
Factors of 7068
List of positive integer factors of 7068 that divides 7068 without a remainder.
1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186, 228, 372, 589, 1178, 1767, 2356, 3534, 7068
Least Common Multiple of 7061 and 7068 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7061 and 7068, than apply into the LCM equation.
GCF(7061,7068) = 1
LCM(7061,7068) = ( 7061 × 7068) / 1
LCM(7061,7068) = 49907148 / 1
LCM(7061,7068) = 49907148
Properties of LCM 7061 and 7068
(i) The LCM of 7068 and 7061 is associative
LCM of 7061 and 7068 = LCM of 7068 and 7061
Related Least Common Multiples of 7061
Related Least Common Multiples of 7068
Frequently Asked Questions on LCM of 7061 and 7068
1. What is the LCM of 7061 and 7068?
Answer: LCM of 7061 and 7068 is 49907148.
2. What are the Factors of 7061?
Answer: Factors of 7061 are 1, 23, 307, 7061. There are 4 integers that are factors of 7061. The greatest factor of 7061 is 7061.
3. What are the Factors of 7068?
Answer: Factors of 7068 are 1, 2, 3, 4, 6, 12, 19, 31, 38, 57, 62, 76, 93, 114, 124, 186, 228, 372, 589, 1178, 1767, 2356, 3534, 7068. There are 24 integers that are factors of 7068. The greatest factor of 7068 is 7068.
4. How to Find the LCM of 7061 and 7068?
Answer:
Least Common Multiple of 7061 and 7068 = 49907148
Step 1: Find the prime factorization of 7061
7061 = 23 x 307
Step 2: Find the prime factorization of 7068
7068 = 2 x 2 x 3 x 19 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49907148 = 2 x 2 x 3 x 19 x 23 x 31 x 307
Step 4: Therefore, the least common multiple of 7061 and 7068 is 49907148.