Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4059 and 4065 the smallest integer that is 5499945 that is divisible by both numbers.
Least Common Multiple (LCM) of 4059 and 4065 is 5499945.
LCM(4059,4065) = 5499945
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 4059 and 4065. First we will calculate the prime factors of 4059 and 4065.
Prime Factorization of 4059
3 | 4059 |
3 | 1353 |
11 | 451 |
41 | 41 |
1 |
Prime factors of 4059 are 3, 11,41. Prime factorization of 4059 in exponential form is:
4059 = 32×111×411
Prime Factorization of 4065
3 | 4065 |
5 | 1355 |
271 | 271 |
1 |
Prime factors of 4065 are 3, 5,271. Prime factorization of 4065 in exponential form is:
4065 = 31×51×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 4059 and 4065.
LCM(4059,4065) = 32×51×111×411×2711
LCM(4059,4065) = 5499945
Factors of 4059
List of positive integer factors of 4059 that divides 4059 without a remainder.
1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059
Factors of 4065
List of positive integer factors of 4065 that divides 4065 without a remainder.
1, 3, 5, 15, 271, 813, 1355, 4065
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4059 and 4065, than apply into the LCM equation.
GCF(4059,4065) = 3
LCM(4059,4065) = ( 4059 × 4065) / 3
LCM(4059,4065) = 16499835 / 3
LCM(4059,4065) = 5499945
(i) The LCM of 4065 and 4059 is associative
LCM of 4059 and 4065 = LCM of 4065 and 4059
1. What is the LCM of 4059 and 4065?
Answer: LCM of 4059 and 4065 is 5499945.
2. What are the Factors of 4059?
Answer: Factors of 4059 are 1, 3, 9, 11, 33, 41, 99, 123, 369, 451, 1353, 4059. There are 12 integers that are factors of 4059. The greatest factor of 4059 is 4059.
3. What are the Factors of 4065?
Answer: Factors of 4065 are 1, 3, 5, 15, 271, 813, 1355, 4065. There are 8 integers that are factors of 4065. The greatest factor of 4065 is 4065.
4. How to Find the LCM of 4059 and 4065?
Answer:
Least Common Multiple of 4059 and 4065 = 5499945
Step 1: Find the prime factorization of 4059
4059 = 3 x 3 x 11 x 41
Step 2: Find the prime factorization of 4065
4065 = 3 x 5 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5499945 = 3 x 3 x 5 x 11 x 41 x 271
Step 4: Therefore, the least common multiple of 4059 and 4065 is 5499945.