Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3048 and 3053 the smallest integer that is 9305544 that is divisible by both numbers.
Least Common Multiple (LCM) of 3048 and 3053 is 9305544.
LCM(3048,3053) = 9305544
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 3048 and 3053. First we will calculate the prime factors of 3048 and 3053.
Prime Factorization of 3048
2 | 3048 |
2 | 1524 |
2 | 762 |
3 | 381 |
127 | 127 |
1 |
Prime factors of 3048 are 2, 3,127. Prime factorization of 3048 in exponential form is:
3048 = 23×31×1271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3048 and 3053.
LCM(3048,3053) = 23×31×431×711×1271
LCM(3048,3053) = 9305544
Factors of 3048
List of positive integer factors of 3048 that divides 3048 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048
Factors of 3053
List of positive integer factors of 3053 that divides 3053 without a remainder.
1, 43, 71, 3053
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3048 and 3053, than apply into the LCM equation.
GCF(3048,3053) = 1
LCM(3048,3053) = ( 3048 × 3053) / 1
LCM(3048,3053) = 9305544 / 1
LCM(3048,3053) = 9305544
(i) The LCM of 3053 and 3048 is associative
LCM of 3048 and 3053 = LCM of 3053 and 3048
1. What is the LCM of 3048 and 3053?
Answer: LCM of 3048 and 3053 is 9305544.
2. What are the Factors of 3048?
Answer: Factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048. There are 16 integers that are factors of 3048. The greatest factor of 3048 is 3048.
3. 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.
4. How to Find the LCM of 3048 and 3053?
Answer:
Least Common Multiple of 3048 and 3053 = 9305544
Step 1: Find the prime factorization of 3048
3048 = 2 x 2 x 2 x 3 x 127
Step 2: Find the prime factorization of 3053
3053 = 43 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9305544 = 2 x 2 x 2 x 3 x 43 x 71 x 127
Step 4: Therefore, the least common multiple of 3048 and 3053 is 9305544.