Least Common Multiple of 40001 and 40007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40001 and 40007 the smallest integer that is 1600320007 that is divisible by both numbers.

Least Common Multiple (LCM) of 40001 and 40007 is 1600320007.

LCM(40001,40007) = 1600320007

LCM of 40001 and 40007

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

LCM of:
and

Least Common Multiple of 40001 and 40007

LCM of 40001 and 40007 is 1600320007

Least common multiple can be found by multiplying the highest exponent prime factors of 40001 and 40007. First we will calculate the prime factors of 40001 and 40007.

Prime Factorization of 40001


13 40001
17 3077
181 181
1

Prime factors of 40001 are 13, 17,181. Prime factorization of 40001 in exponential form is:

40001 = 131×171×1811

Prime Factorization of 40007


11 40007
3637 3637
1

Prime factors of 40007 are 11,3637. Prime factorization of 40007 in exponential form is:

40007 = 111×36371

Now multiplying the highest exponent prime factors to calculate the LCM of 40001 and 40007.

LCM(40001,40007) = 111×131×171×1811×36371
LCM(40001,40007) = 1600320007

Factors of 40001

List of positive integer factors of 40001 that divides 40001 without a remainder.

1, 13, 17, 181, 221, 2353, 3077, 40001

Factors of 40007

List of positive integer factors of 40007 that divides 40007 without a remainder.

1, 11, 3637, 40007

Least Common Multiple of 40001 and 40007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40001 and 40007, than apply into the LCM equation.

GCF(40001,40007) = 1
LCM(40001,40007) = ( 40001 × 40007) / 1
LCM(40001,40007) = 1600320007 / 1
LCM(40001,40007) = 1600320007

Properties of LCM 40001 and 40007

(i) The LCM of 40007 and 40001 is associative

LCM of 40001 and 40007 = LCM of 40007 and 40001

Related Least Common Multiples of 40001

Related Least Common Multiples of 40007

Frequently Asked Questions on LCM of 40001 and 40007

1. What is the LCM of 40001 and 40007?

Answer: LCM of 40001 and 40007 is 1600320007.

2. What are the Factors of 40001?

Answer: Factors of 40001 are 1, 13, 17, 181, 221, 2353, 3077, 40001. There are 8 integers that are factors of 40001. The greatest factor of 40001 is 40001.

3. What are the Factors of 40007?

Answer: Factors of 40007 are 1, 11, 3637, 40007. There are 4 integers that are factors of 40007. The greatest factor of 40007 is 40007.

4. How to Find the LCM of 40001 and 40007?

Answer:

Least Common Multiple of 40001 and 40007 = 1600320007

Step 1: Find the prime factorization of 40001

40001 = 13 x 17 x 181

Step 2: Find the prime factorization of 40007

40007 = 11 x 3637

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

LCM = 1600320007 = 11 x 13 x 17 x 181 x 3637

Step 4: Therefore, the least common multiple of 40001 and 40007 is 1600320007.