Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4011 and 4017 the smallest integer that is 5370729 that is divisible by both numbers.
Least Common Multiple (LCM) of 4011 and 4017 is 5370729.
LCM(4011,4017) = 5370729
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 4011 and 4017. First we will calculate the prime factors of 4011 and 4017.
Prime Factorization of 4011
3 | 4011 |
7 | 1337 |
191 | 191 |
1 |
Prime factors of 4011 are 3, 7,191. Prime factorization of 4011 in exponential form is:
4011 = 31×71×1911
Prime Factorization of 4017
3 | 4017 |
13 | 1339 |
103 | 103 |
1 |
Prime factors of 4017 are 3, 13,103. Prime factorization of 4017 in exponential form is:
4017 = 31×131×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 4011 and 4017.
LCM(4011,4017) = 31×71×131×1031×1911
LCM(4011,4017) = 5370729
Factors of 4011
List of positive integer factors of 4011 that divides 4011 without a remainder.
1, 3, 7, 21, 191, 573, 1337, 4011
Factors of 4017
List of positive integer factors of 4017 that divides 4017 without a remainder.
1, 3, 13, 39, 103, 309, 1339, 4017
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4011 and 4017, than apply into the LCM equation.
GCF(4011,4017) = 3
LCM(4011,4017) = ( 4011 × 4017) / 3
LCM(4011,4017) = 16112187 / 3
LCM(4011,4017) = 5370729
(i) The LCM of 4017 and 4011 is associative
LCM of 4011 and 4017 = LCM of 4017 and 4011
1. What is the LCM of 4011 and 4017?
Answer: LCM of 4011 and 4017 is 5370729.
2. What are the Factors of 4011?
Answer: Factors of 4011 are 1, 3, 7, 21, 191, 573, 1337, 4011. There are 8 integers that are factors of 4011. The greatest factor of 4011 is 4011.
3. What are the Factors of 4017?
Answer: Factors of 4017 are 1, 3, 13, 39, 103, 309, 1339, 4017. There are 8 integers that are factors of 4017. The greatest factor of 4017 is 4017.
4. How to Find the LCM of 4011 and 4017?
Answer:
Least Common Multiple of 4011 and 4017 = 5370729
Step 1: Find the prime factorization of 4011
4011 = 3 x 7 x 191
Step 2: Find the prime factorization of 4017
4017 = 3 x 13 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5370729 = 3 x 7 x 13 x 103 x 191
Step 4: Therefore, the least common multiple of 4011 and 4017 is 5370729.