Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7073 and 7077 the smallest integer that is 50055621 that is divisible by both numbers.
Least Common Multiple (LCM) of 7073 and 7077 is 50055621.
LCM(7073,7077) = 50055621
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 7073 and 7077. First we will calculate the prime factors of 7073 and 7077.
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
Prime Factorization of 7077
3 | 7077 |
7 | 2359 |
337 | 337 |
1 |
Prime factors of 7077 are 3, 7,337. Prime factorization of 7077 in exponential form is:
7077 = 31×71×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 7073 and 7077.
LCM(7073,7077) = 31×71×111×3371×6431
LCM(7073,7077) = 50055621
Factors of 7073
List of positive integer factors of 7073 that divides 7073 without a remainder.
1, 11, 643, 7073
Factors of 7077
List of positive integer factors of 7077 that divides 7077 without a remainder.
1, 3, 7, 21, 337, 1011, 2359, 7077
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7073 and 7077, than apply into the LCM equation.
GCF(7073,7077) = 1
LCM(7073,7077) = ( 7073 × 7077) / 1
LCM(7073,7077) = 50055621 / 1
LCM(7073,7077) = 50055621
(i) The LCM of 7077 and 7073 is associative
LCM of 7073 and 7077 = LCM of 7077 and 7073
1. What is the LCM of 7073 and 7077?
Answer: LCM of 7073 and 7077 is 50055621.
2. 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.
3. What are the Factors of 7077?
Answer: Factors of 7077 are 1, 3, 7, 21, 337, 1011, 2359, 7077. There are 8 integers that are factors of 7077. The greatest factor of 7077 is 7077.
4. How to Find the LCM of 7073 and 7077?
Answer:
Least Common Multiple of 7073 and 7077 = 50055621
Step 1: Find the prime factorization of 7073
7073 = 11 x 643
Step 2: Find the prime factorization of 7077
7077 = 3 x 7 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50055621 = 3 x 7 x 11 x 337 x 643
Step 4: Therefore, the least common multiple of 7073 and 7077 is 50055621.