Least Common Multiple of 36007 and 36013

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36007 and 36013 the smallest integer that is 1296720091 that is divisible by both numbers.

Least Common Multiple (LCM) of 36007 and 36013 is 1296720091.

LCM(36007,36013) = 1296720091

LCM of 36007 and 36013

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

LCM of:
and

Least Common Multiple of 36007 and 36013

LCM of 36007 and 36013 is 1296720091

Least common multiple can be found by multiplying the highest exponent prime factors of 36007 and 36013. First we will calculate the prime factors of 36007 and 36013.

Prime Factorization of 36007


36007 36007
1

Prime factors of 36007 are 36007. Prime factorization of 36007 in exponential form is:

36007 = 360071

Prime Factorization of 36013


36013 36013
1

Prime factors of 36013 are 36013. Prime factorization of 36013 in exponential form is:

36013 = 360131

Now multiplying the highest exponent prime factors to calculate the LCM of 36007 and 36013.

LCM(36007,36013) = 360071×360131
LCM(36007,36013) = 1296720091

Factors of 36007

List of positive integer factors of 36007 that divides 36007 without a remainder.

1, 36007

Factors of 36013

List of positive integer factors of 36013 that divides 36013 without a remainder.

1, 36013

Least Common Multiple of 36007 and 36013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36007 and 36013, than apply into the LCM equation.

GCF(36007,36013) = 1
LCM(36007,36013) = ( 36007 × 36013) / 1
LCM(36007,36013) = 1296720091 / 1
LCM(36007,36013) = 1296720091

Properties of LCM 36007 and 36013

(i) The LCM of 36013 and 36007 is associative

LCM of 36007 and 36013 = LCM of 36013 and 36007

Related Least Common Multiples of 36007

Related Least Common Multiples of 36013

Frequently Asked Questions on LCM of 36007 and 36013

1. What is the LCM of 36007 and 36013?

Answer: LCM of 36007 and 36013 is 1296720091.

2. What are the Factors of 36007?

Answer: Factors of 36007 are 1, 36007. There are 2 integers that are factors of 36007. The greatest factor of 36007 is 36007.

3. What are the Factors of 36013?

Answer: Factors of 36013 are 1, 36013. There are 2 integers that are factors of 36013. The greatest factor of 36013 is 36013.

4. How to Find the LCM of 36007 and 36013?

Answer:

Least Common Multiple of 36007 and 36013 = 1296720091

Step 1: Find the prime factorization of 36007

36007 = 36007

Step 2: Find the prime factorization of 36013

36013 = 36013

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

LCM = 1296720091 = 36007 x 36013

Step 4: Therefore, the least common multiple of 36007 and 36013 is 1296720091.