Least Common Multiple of 4011 and 4012

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 4012 the smallest integer that is 16092132 that is divisible by both numbers.

Least Common Multiple (LCM) of 4011 and 4012 is 16092132.

LCM(4011,4012) = 16092132

LCM of 4011 and 4012

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

LCM of:
and

Least Common Multiple of 4011 and 4012

LCM of 4011 and 4012 is 16092132

Least common multiple can be found by multiplying the highest exponent prime factors of 4011 and 4012. First we will calculate the prime factors of 4011 and 4012.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 4011 and 4012.

LCM(4011,4012) = 22×31×71×171×591×1911
LCM(4011,4012) = 16092132

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 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

Least Common Multiple of 4011 and 4012 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 4012, than apply into the LCM equation.

GCF(4011,4012) = 1
LCM(4011,4012) = ( 4011 × 4012) / 1
LCM(4011,4012) = 16092132 / 1
LCM(4011,4012) = 16092132

Properties of LCM 4011 and 4012

(i) The LCM of 4012 and 4011 is associative

LCM of 4011 and 4012 = LCM of 4012 and 4011

Related Least Common Multiples of 4011

Related Least Common Multiples of 4012

Frequently Asked Questions on LCM of 4011 and 4012

1. What is the LCM of 4011 and 4012?

Answer: LCM of 4011 and 4012 is 16092132.

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 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.

4. How to Find the LCM of 4011 and 4012?

Answer:

Least Common Multiple of 4011 and 4012 = 16092132

Step 1: Find the prime factorization of 4011

4011 = 3 x 7 x 191

Step 2: Find the prime factorization of 4012

4012 = 2 x 2 x 17 x 59

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

LCM = 16092132 = 2 x 2 x 3 x 7 x 17 x 59 x 191

Step 4: Therefore, the least common multiple of 4011 and 4012 is 16092132.