Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7067 and 7073 the smallest integer that is 49984891 that is divisible by both numbers.
Least Common Multiple (LCM) of 7067 and 7073 is 49984891.
LCM(7067,7073) = 49984891
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7067 and 7073. First we will calculate the prime factors of 7067 and 7073.
Prime Factorization of 7067
37 | 7067 |
191 | 191 |
1 |
Prime factors of 7067 are 37,191. Prime factorization of 7067 in exponential form is:
7067 = 371×1911
Prime Factorization of 7073
11 | 7073 |
643 | 643 |
1 |
Prime factors of 7073 are 11,643. Prime factorization of 7073 in exponential form is:
7073 = 111×6431
Now multiplying the highest exponent prime factors to calculate the LCM of 7067 and 7073.
LCM(7067,7073) = 111×371×1911×6431
LCM(7067,7073) = 49984891
Factors of 7067
List of positive integer factors of 7067 that divides 7067 without a remainder.
1, 37, 191, 7067
Factors of 7073
List of positive integer factors of 7073 that divides 7073 without a remainder.
1, 11, 643, 7073
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7067 and 7073, than apply into the LCM equation.
GCF(7067,7073) = 1
LCM(7067,7073) = ( 7067 × 7073) / 1
LCM(7067,7073) = 49984891 / 1
LCM(7067,7073) = 49984891
(i) The LCM of 7073 and 7067 is associative
LCM of 7067 and 7073 = LCM of 7073 and 7067
1. What is the LCM of 7067 and 7073?
Answer: LCM of 7067 and 7073 is 49984891.
2. What are the Factors of 7067?
Answer: Factors of 7067 are 1, 37, 191, 7067. There are 4 integers that are factors of 7067. The greatest factor of 7067 is 7067.
3. What are the Factors of 7073?
Answer: Factors of 7073 are 1, 11, 643, 7073. There are 4 integers that are factors of 7073. The greatest factor of 7073 is 7073.
4. How to Find the LCM of 7067 and 7073?
Answer:
Least Common Multiple of 7067 and 7073 = 49984891
Step 1: Find the prime factorization of 7067
7067 = 37 x 191
Step 2: Find the prime factorization of 7073
7073 = 11 x 643
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49984891 = 11 x 37 x 191 x 643
Step 4: Therefore, the least common multiple of 7067 and 7073 is 49984891.