Least Common Multiple of 40009 and 40013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40009 and 40013 the smallest integer that is 1600880117 that is divisible by both numbers.

Least Common Multiple (LCM) of 40009 and 40013 is 1600880117.

LCM(40009,40013) = 1600880117

LCM of 40009 and 40013

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

LCM of:
and

Least Common Multiple of 40009 and 40013

LCM of 40009 and 40013 is 1600880117

Least common multiple can be found by multiplying the highest exponent prime factors of 40009 and 40013. First we will calculate the prime factors of 40009 and 40013.

Prime Factorization of 40009


40009 40009
1

Prime factors of 40009 are 40009. Prime factorization of 40009 in exponential form is:

40009 = 400091

Prime Factorization of 40013


40013 40013
1

Prime factors of 40013 are 40013. Prime factorization of 40013 in exponential form is:

40013 = 400131

Now multiplying the highest exponent prime factors to calculate the LCM of 40009 and 40013.

LCM(40009,40013) = 400091×400131
LCM(40009,40013) = 1600880117

Factors of 40009

List of positive integer factors of 40009 that divides 40009 without a remainder.

1, 40009

Factors of 40013

List of positive integer factors of 40013 that divides 40013 without a remainder.

1, 40013

Least Common Multiple of 40009 and 40013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40009 and 40013, than apply into the LCM equation.

GCF(40009,40013) = 1
LCM(40009,40013) = ( 40009 × 40013) / 1
LCM(40009,40013) = 1600880117 / 1
LCM(40009,40013) = 1600880117

Properties of LCM 40009 and 40013

(i) The LCM of 40013 and 40009 is associative

LCM of 40009 and 40013 = LCM of 40013 and 40009

Related Least Common Multiples of 40009

Related Least Common Multiples of 40013

Frequently Asked Questions on LCM of 40009 and 40013

1. What is the LCM of 40009 and 40013?

Answer: LCM of 40009 and 40013 is 1600880117.

2. What are the Factors of 40009?

Answer: Factors of 40009 are 1, 40009. There are 2 integers that are factors of 40009. The greatest factor of 40009 is 40009.

3. What are the Factors of 40013?

Answer: Factors of 40013 are 1, 40013. There are 2 integers that are factors of 40013. The greatest factor of 40013 is 40013.

4. How to Find the LCM of 40009 and 40013?

Answer:

Least Common Multiple of 40009 and 40013 = 1600880117

Step 1: Find the prime factorization of 40009

40009 = 40009

Step 2: Find the prime factorization of 40013

40013 = 40013

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

LCM = 1600880117 = 40009 x 40013

Step 4: Therefore, the least common multiple of 40009 and 40013 is 1600880117.