Least Common Multiple of 4012 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 4012 and 4019 the smallest integer that is 16124228 that is divisible by both numbers.

Least Common Multiple (LCM) of 4012 and 4019 is 16124228.

LCM(4012,4019) = 16124228

LCM of 4012 and 4019

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

LCM of:
and

Least Common Multiple of 4012 and 4019

LCM of 4012 and 4019 is 16124228

Least common multiple can be found by multiplying the highest exponent prime factors of 4012 and 4019. First we will calculate the prime factors of 4012 and 4019.

Prime Factorization of 4012


2 4012
2 2006
17 1003
59 59
1

Prime factors of 4012 are 2, 17,59. Prime factorization of 4012 in exponential form is:

4012 = 22×171×591

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 4012 and 4019.

LCM(4012,4019) = 22×171×591×40191
LCM(4012,4019) = 16124228

Factors of 4012

List of positive integer factors of 4012 that divides 4012 without a remainder.

1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012

Factors of 4019

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

1, 4019

Least Common Multiple of 4012 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 4012 and 4019, than apply into the LCM equation.

GCF(4012,4019) = 1
LCM(4012,4019) = ( 4012 × 4019) / 1
LCM(4012,4019) = 16124228 / 1
LCM(4012,4019) = 16124228

Properties of LCM 4012 and 4019

(i) The LCM of 4019 and 4012 is associative

LCM of 4012 and 4019 = LCM of 4019 and 4012

Related Least Common Multiples of 4012

Related Least Common Multiples of 4019

Frequently Asked Questions on LCM of 4012 and 4019

1. What is the LCM of 4012 and 4019?

Answer: LCM of 4012 and 4019 is 16124228.

2. What are the Factors of 4012?

Answer: Factors of 4012 are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012. There are 12 integers that are factors of 4012. The greatest factor of 4012 is 4012.

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 4012 and 4019?

Answer:

Least Common Multiple of 4012 and 4019 = 16124228

Step 1: Find the prime factorization of 4012

4012 = 2 x 2 x 17 x 59

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 = 16124228 = 2 x 2 x 17 x 59 x 4019

Step 4: Therefore, the least common multiple of 4012 and 4019 is 16124228.