Least Common Multiple of 4011 and 4017

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

LCM of 4011 and 4017

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4011 and 4017

LCM of 4011 and 4017 is 5370729

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

Least Common Multiple of 4011 and 4017 with GCF Formula

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

Properties of LCM 4011 and 4017

(i) The LCM of 4017 and 4011 is associative

LCM of 4011 and 4017 = LCM of 4017 and 4011

Related Least Common Multiples of 4011

Related Least Common Multiples of 4017

Frequently Asked Questions on LCM of 4011 and 4017

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.