Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6064 and 6072 the smallest integer that is 4602576 that is divisible by both numbers.
Least Common Multiple (LCM) of 6064 and 6072 is 4602576.
LCM(6064,6072) = 4602576
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 6064 and 6072. First we will calculate the prime factors of 6064 and 6072.
Prime Factorization of 6064
2 | 6064 |
2 | 3032 |
2 | 1516 |
2 | 758 |
379 | 379 |
1 |
Prime factors of 6064 are 2,379. Prime factorization of 6064 in exponential form is:
6064 = 24×3791
Prime Factorization of 6072
2 | 6072 |
2 | 3036 |
2 | 1518 |
3 | 759 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 6072 are 2, 3, 11,23. Prime factorization of 6072 in exponential form is:
6072 = 23×31×111×231
Now multiplying the highest exponent prime factors to calculate the LCM of 6064 and 6072.
LCM(6064,6072) = 24×31×111×231×3791
LCM(6064,6072) = 4602576
Factors of 6064
List of positive integer factors of 6064 that divides 6064 without a remainder.
1, 2, 4, 8, 16, 379, 758, 1516, 3032, 6064
Factors of 6072
List of positive integer factors of 6072 that divides 6072 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6064 and 6072, than apply into the LCM equation.
GCF(6064,6072) = 8
LCM(6064,6072) = ( 6064 × 6072) / 8
LCM(6064,6072) = 36820608 / 8
LCM(6064,6072) = 4602576
(i) The LCM of 6072 and 6064 is associative
LCM of 6064 and 6072 = LCM of 6072 and 6064
1. What is the LCM of 6064 and 6072?
Answer: LCM of 6064 and 6072 is 4602576.
2. What are the Factors of 6064?
Answer: Factors of 6064 are 1, 2, 4, 8, 16, 379, 758, 1516, 3032, 6064. There are 10 integers that are factors of 6064. The greatest factor of 6064 is 6064.
3. What are the Factors of 6072?
Answer: Factors of 6072 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072. There are 32 integers that are factors of 6072. The greatest factor of 6072 is 6072.
4. How to Find the LCM of 6064 and 6072?
Answer:
Least Common Multiple of 6064 and 6072 = 4602576
Step 1: Find the prime factorization of 6064
6064 = 2 x 2 x 2 x 2 x 379
Step 2: Find the prime factorization of 6072
6072 = 2 x 2 x 2 x 3 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 = 4602576 = 2 x 2 x 2 x 2 x 3 x 11 x 23 x 379
Step 4: Therefore, the least common multiple of 6064 and 6072 is 4602576.