Least Common Multiple of 4011 and 4018

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 4018 the smallest integer that is 2302314 that is divisible by both numbers.

Least Common Multiple (LCM) of 4011 and 4018 is 2302314.

LCM(4011,4018) = 2302314

LCM of 4011 and 4018

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

LCM of:
and

Least Common Multiple of 4011 and 4018

LCM of 4011 and 4018 is 2302314

Least common multiple can be found by multiplying the highest exponent prime factors of 4011 and 4018. First we will calculate the prime factors of 4011 and 4018.

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 4018


2 4018
7 2009
7 287
41 41
1

Prime factors of 4018 are 2, 7,41. Prime factorization of 4018 in exponential form is:

4018 = 21×72×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4011 and 4018.

LCM(4011,4018) = 21×31×72×411×1911
LCM(4011,4018) = 2302314

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 4018

List of positive integer factors of 4018 that divides 4018 without a remainder.

1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018

Least Common Multiple of 4011 and 4018 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 4018, than apply into the LCM equation.

GCF(4011,4018) = 7
LCM(4011,4018) = ( 4011 × 4018) / 7
LCM(4011,4018) = 16116198 / 7
LCM(4011,4018) = 2302314

Properties of LCM 4011 and 4018

(i) The LCM of 4018 and 4011 is associative

LCM of 4011 and 4018 = LCM of 4018 and 4011

Related Least Common Multiples of 4011

Related Least Common Multiples of 4018

Frequently Asked Questions on LCM of 4011 and 4018

1. What is the LCM of 4011 and 4018?

Answer: LCM of 4011 and 4018 is 2302314.

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 4018?

Answer: Factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018. There are 12 integers that are factors of 4018. The greatest factor of 4018 is 4018.

4. How to Find the LCM of 4011 and 4018?

Answer:

Least Common Multiple of 4011 and 4018 = 2302314

Step 1: Find the prime factorization of 4011

4011 = 3 x 7 x 191

Step 2: Find the prime factorization of 4018

4018 = 2 x 7 x 7 x 41

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 2302314 = 2 x 3 x 7 x 7 x 41 x 191

Step 4: Therefore, the least common multiple of 4011 and 4018 is 2302314.