Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3122 and 3128 the smallest integer that is 4882808 that is divisible by both numbers.
Least Common Multiple (LCM) of 3122 and 3128 is 4882808.
LCM(3122,3128) = 4882808
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 3122 and 3128. First we will calculate the prime factors of 3122 and 3128.
Prime Factorization of 3122
2 | 3122 |
7 | 1561 |
223 | 223 |
1 |
Prime factors of 3122 are 2, 7,223. Prime factorization of 3122 in exponential form is:
3122 = 21×71×2231
Prime Factorization of 3128
2 | 3128 |
2 | 1564 |
2 | 782 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 3128 are 2, 17,23. Prime factorization of 3128 in exponential form is:
3128 = 23×171×231
Now multiplying the highest exponent prime factors to calculate the LCM of 3122 and 3128.
LCM(3122,3128) = 23×71×171×231×2231
LCM(3122,3128) = 4882808
Factors of 3122
List of positive integer factors of 3122 that divides 3122 without a remainder.
1, 2, 7, 14, 223, 446, 1561, 3122
Factors of 3128
List of positive integer factors of 3128 that divides 3128 without a remainder.
1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3122 and 3128, than apply into the LCM equation.
GCF(3122,3128) = 2
LCM(3122,3128) = ( 3122 × 3128) / 2
LCM(3122,3128) = 9765616 / 2
LCM(3122,3128) = 4882808
(i) The LCM of 3128 and 3122 is associative
LCM of 3122 and 3128 = LCM of 3128 and 3122
1. What is the LCM of 3122 and 3128?
Answer: LCM of 3122 and 3128 is 4882808.
2. What are the Factors of 3122?
Answer: Factors of 3122 are 1, 2, 7, 14, 223, 446, 1561, 3122. There are 8 integers that are factors of 3122. The greatest factor of 3122 is 3122.
3. What are the Factors of 3128?
Answer: Factors of 3128 are 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128. There are 16 integers that are factors of 3128. The greatest factor of 3128 is 3128.
4. How to Find the LCM of 3122 and 3128?
Answer:
Least Common Multiple of 3122 and 3128 = 4882808
Step 1: Find the prime factorization of 3122
3122 = 2 x 7 x 223
Step 2: Find the prime factorization of 3128
3128 = 2 x 2 x 2 x 17 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 = 4882808 = 2 x 2 x 2 x 7 x 17 x 23 x 223
Step 4: Therefore, the least common multiple of 3122 and 3128 is 4882808.