Least Common Multiple of 4007 and 4011

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4007 and 4011 the smallest integer that is 16072077 that is divisible by both numbers.

Least Common Multiple (LCM) of 4007 and 4011 is 16072077.

LCM(4007,4011) = 16072077

LCM of 4007 and 4011

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

LCM of:
and

Least Common Multiple of 4007 and 4011

LCM of 4007 and 4011 is 16072077

Least common multiple can be found by multiplying the highest exponent prime factors of 4007 and 4011. First we will calculate the prime factors of 4007 and 4011.

Prime Factorization of 4007


4007 4007
1

Prime factors of 4007 are 4007. Prime factorization of 4007 in exponential form is:

4007 = 40071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4007 and 4011.

LCM(4007,4011) = 31×71×1911×40071
LCM(4007,4011) = 16072077

Factors of 4007

List of positive integer factors of 4007 that divides 4007 without a remainder.

1, 4007

Factors of 4011

List of positive integer factors of 4011 that divides 4011 without a remainder.

1, 3, 7, 21, 191, 573, 1337, 4011

Least Common Multiple of 4007 and 4011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4007 and 4011, than apply into the LCM equation.

GCF(4007,4011) = 1
LCM(4007,4011) = ( 4007 × 4011) / 1
LCM(4007,4011) = 16072077 / 1
LCM(4007,4011) = 16072077

Properties of LCM 4007 and 4011

(i) The LCM of 4011 and 4007 is associative

LCM of 4007 and 4011 = LCM of 4011 and 4007

Related Least Common Multiples of 4007

Related Least Common Multiples of 4011

Frequently Asked Questions on LCM of 4007 and 4011

1. What is the LCM of 4007 and 4011?

Answer: LCM of 4007 and 4011 is 16072077.

2. What are the Factors of 4007?

Answer: Factors of 4007 are 1, 4007. There are 2 integers that are factors of 4007. The greatest factor of 4007 is 4007.

3. 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.

4. How to Find the LCM of 4007 and 4011?

Answer:

Least Common Multiple of 4007 and 4011 = 16072077

Step 1: Find the prime factorization of 4007

4007 = 4007

Step 2: Find the prime factorization of 4011

4011 = 3 x 7 x 191

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

LCM = 16072077 = 3 x 7 x 191 x 4007

Step 4: Therefore, the least common multiple of 4007 and 4011 is 16072077.