Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7077 and 7084 the smallest integer that is 7161924 that is divisible by both numbers.
Least Common Multiple (LCM) of 7077 and 7084 is 7161924.
LCM(7077,7084) = 7161924
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 7077 and 7084. First we will calculate the prime factors of 7077 and 7084.
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
Prime Factorization of 7084
2 | 7084 |
2 | 3542 |
7 | 1771 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 7084 are 2, 7, 11,23. Prime factorization of 7084 in exponential form is:
7084 = 22×71×111×231
Now multiplying the highest exponent prime factors to calculate the LCM of 7077 and 7084.
LCM(7077,7084) = 22×31×71×111×231×3371
LCM(7077,7084) = 7161924
Factors of 7077
List of positive integer factors of 7077 that divides 7077 without a remainder.
1, 3, 7, 21, 337, 1011, 2359, 7077
Factors of 7084
List of positive integer factors of 7084 that divides 7084 without a remainder.
1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7077 and 7084, than apply into the LCM equation.
GCF(7077,7084) = 7
LCM(7077,7084) = ( 7077 × 7084) / 7
LCM(7077,7084) = 50133468 / 7
LCM(7077,7084) = 7161924
(i) The LCM of 7084 and 7077 is associative
LCM of 7077 and 7084 = LCM of 7084 and 7077
1. What is the LCM of 7077 and 7084?
Answer: LCM of 7077 and 7084 is 7161924.
2. 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.
3. What are the Factors of 7084?
Answer: Factors of 7084 are 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084. There are 24 integers that are factors of 7084. The greatest factor of 7084 is 7084.
4. How to Find the LCM of 7077 and 7084?
Answer:
Least Common Multiple of 7077 and 7084 = 7161924
Step 1: Find the prime factorization of 7077
7077 = 3 x 7 x 337
Step 2: Find the prime factorization of 7084
7084 = 2 x 2 x 7 x 11 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7161924 = 2 x 2 x 3 x 7 x 11 x 23 x 337
Step 4: Therefore, the least common multiple of 7077 and 7084 is 7161924.