Least Common Multiple of 4011 and 4019

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 4019 the smallest integer that is 16120209 that is divisible by both numbers.

Least Common Multiple (LCM) of 4011 and 4019 is 16120209.

LCM(4011,4019) = 16120209

LCM of 4011 and 4019

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

LCM of:
and

Least Common Multiple of 4011 and 4019

LCM of 4011 and 4019 is 16120209

Least common multiple can be found by multiplying the highest exponent prime factors of 4011 and 4019. First we will calculate the prime factors of 4011 and 4019.

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 4019


4019 4019
1

Prime factors of 4019 are 4019. Prime factorization of 4019 in exponential form is:

4019 = 40191

Now multiplying the highest exponent prime factors to calculate the LCM of 4011 and 4019.

LCM(4011,4019) = 31×71×1911×40191
LCM(4011,4019) = 16120209

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 4019

List of positive integer factors of 4019 that divides 4019 without a remainder.

1, 4019

Least Common Multiple of 4011 and 4019 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 4019, than apply into the LCM equation.

GCF(4011,4019) = 1
LCM(4011,4019) = ( 4011 × 4019) / 1
LCM(4011,4019) = 16120209 / 1
LCM(4011,4019) = 16120209

Properties of LCM 4011 and 4019

(i) The LCM of 4019 and 4011 is associative

LCM of 4011 and 4019 = LCM of 4019 and 4011

Related Least Common Multiples of 4011

Related Least Common Multiples of 4019

Frequently Asked Questions on LCM of 4011 and 4019

1. What is the LCM of 4011 and 4019?

Answer: LCM of 4011 and 4019 is 16120209.

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 4019?

Answer: Factors of 4019 are 1, 4019. There are 2 integers that are factors of 4019. The greatest factor of 4019 is 4019.

4. How to Find the LCM of 4011 and 4019?

Answer:

Least Common Multiple of 4011 and 4019 = 16120209

Step 1: Find the prime factorization of 4011

4011 = 3 x 7 x 191

Step 2: Find the prime factorization of 4019

4019 = 4019

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

LCM = 16120209 = 3 x 7 x 191 x 4019

Step 4: Therefore, the least common multiple of 4011 and 4019 is 16120209.