Least Common Multiple of 36013 and 36021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36013 and 36021 the smallest integer that is 1297224273 that is divisible by both numbers.

Least Common Multiple (LCM) of 36013 and 36021 is 1297224273.

LCM(36013,36021) = 1297224273

LCM of 36013 and 36021

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

LCM of:
and

Least Common Multiple of 36013 and 36021

LCM of 36013 and 36021 is 1297224273

Least common multiple can be found by multiplying the highest exponent prime factors of 36013 and 36021. First we will calculate the prime factors of 36013 and 36021.

Prime Factorization of 36013


36013 36013
1

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

36013 = 360131

Prime Factorization of 36021


3 36021
12007 12007
1

Prime factors of 36021 are 3,12007. Prime factorization of 36021 in exponential form is:

36021 = 31×120071

Now multiplying the highest exponent prime factors to calculate the LCM of 36013 and 36021.

LCM(36013,36021) = 31×120071×360131
LCM(36013,36021) = 1297224273

Factors of 36013

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

1, 36013

Factors of 36021

List of positive integer factors of 36021 that divides 36021 without a remainder.

1, 3, 12007, 36021

Least Common Multiple of 36013 and 36021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36013 and 36021, than apply into the LCM equation.

GCF(36013,36021) = 1
LCM(36013,36021) = ( 36013 × 36021) / 1
LCM(36013,36021) = 1297224273 / 1
LCM(36013,36021) = 1297224273

Properties of LCM 36013 and 36021

(i) The LCM of 36021 and 36013 is associative

LCM of 36013 and 36021 = LCM of 36021 and 36013

Related Least Common Multiples of 36013

Related Least Common Multiples of 36021

Frequently Asked Questions on LCM of 36013 and 36021

1. What is the LCM of 36013 and 36021?

Answer: LCM of 36013 and 36021 is 1297224273.

2. 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.

3. What are the Factors of 36021?

Answer: Factors of 36021 are 1, 3, 12007, 36021. There are 4 integers that are factors of 36021. The greatest factor of 36021 is 36021.

4. How to Find the LCM of 36013 and 36021?

Answer:

Least Common Multiple of 36013 and 36021 = 1297224273

Step 1: Find the prime factorization of 36013

36013 = 36013

Step 2: Find the prime factorization of 36021

36021 = 3 x 12007

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

LCM = 1297224273 = 3 x 12007 x 36013

Step 4: Therefore, the least common multiple of 36013 and 36021 is 1297224273.