Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3053 and 3059 the smallest integer that is 9339127 that is divisible by both numbers.
Least Common Multiple (LCM) of 3053 and 3059 is 9339127.
LCM(3053,3059) = 9339127
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 3053 and 3059. First we will calculate the prime factors of 3053 and 3059.
Prime Factorization of 3053
43 | 3053 |
71 | 71 |
1 |
Prime factors of 3053 are 43,71. Prime factorization of 3053 in exponential form is:
3053 = 431×711
Prime Factorization of 3059
7 | 3059 |
19 | 437 |
23 | 23 |
1 |
Prime factors of 3059 are 7, 19,23. Prime factorization of 3059 in exponential form is:
3059 = 71×191×231
Now multiplying the highest exponent prime factors to calculate the LCM of 3053 and 3059.
LCM(3053,3059) = 71×191×231×431×711
LCM(3053,3059) = 9339127
Factors of 3053
List of positive integer factors of 3053 that divides 3053 without a remainder.
1, 43, 71, 3053
Factors of 3059
List of positive integer factors of 3059 that divides 3059 without a remainder.
1, 7, 19, 23, 133, 161, 437, 3059
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3053 and 3059, than apply into the LCM equation.
GCF(3053,3059) = 1
LCM(3053,3059) = ( 3053 × 3059) / 1
LCM(3053,3059) = 9339127 / 1
LCM(3053,3059) = 9339127
(i) The LCM of 3059 and 3053 is associative
LCM of 3053 and 3059 = LCM of 3059 and 3053
1. What is the LCM of 3053 and 3059?
Answer: LCM of 3053 and 3059 is 9339127.
2. What are the Factors of 3053?
Answer: Factors of 3053 are 1, 43, 71, 3053. There are 4 integers that are factors of 3053. The greatest factor of 3053 is 3053.
3. What are the Factors of 3059?
Answer: Factors of 3059 are 1, 7, 19, 23, 133, 161, 437, 3059. There are 8 integers that are factors of 3059. The greatest factor of 3059 is 3059.
4. How to Find the LCM of 3053 and 3059?
Answer:
Least Common Multiple of 3053 and 3059 = 9339127
Step 1: Find the prime factorization of 3053
3053 = 43 x 71
Step 2: Find the prime factorization of 3059
3059 = 7 x 19 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 = 9339127 = 7 x 19 x 23 x 43 x 71
Step 4: Therefore, the least common multiple of 3053 and 3059 is 9339127.