Least Common Multiple of 36021 and 36027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36021 and 36027 the smallest integer that is 432576189 that is divisible by both numbers.

Least Common Multiple (LCM) of 36021 and 36027 is 432576189.

LCM(36021,36027) = 432576189

LCM of 36021 and 36027

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

LCM of:
and

Least Common Multiple of 36021 and 36027

LCM of 36021 and 36027 is 432576189

Least common multiple can be found by multiplying the highest exponent prime factors of 36021 and 36027. First we will calculate the prime factors of 36021 and 36027.

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

Prime Factorization of 36027


3 36027
3 12009
4003 4003
1

Prime factors of 36027 are 3,4003. Prime factorization of 36027 in exponential form is:

36027 = 32×40031

Now multiplying the highest exponent prime factors to calculate the LCM of 36021 and 36027.

LCM(36021,36027) = 32×40031×120071
LCM(36021,36027) = 432576189

Factors of 36021

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

1, 3, 12007, 36021

Factors of 36027

List of positive integer factors of 36027 that divides 36027 without a remainder.

1, 3, 9, 4003, 12009, 36027

Least Common Multiple of 36021 and 36027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36021 and 36027, than apply into the LCM equation.

GCF(36021,36027) = 3
LCM(36021,36027) = ( 36021 × 36027) / 3
LCM(36021,36027) = 1297728567 / 3
LCM(36021,36027) = 432576189

Properties of LCM 36021 and 36027

(i) The LCM of 36027 and 36021 is associative

LCM of 36021 and 36027 = LCM of 36027 and 36021

Related Least Common Multiples of 36021

Related Least Common Multiples of 36027

Frequently Asked Questions on LCM of 36021 and 36027

1. What is the LCM of 36021 and 36027?

Answer: LCM of 36021 and 36027 is 432576189.

2. 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.

3. What are the Factors of 36027?

Answer: Factors of 36027 are 1, 3, 9, 4003, 12009, 36027. There are 6 integers that are factors of 36027. The greatest factor of 36027 is 36027.

4. How to Find the LCM of 36021 and 36027?

Answer:

Least Common Multiple of 36021 and 36027 = 432576189

Step 1: Find the prime factorization of 36021

36021 = 3 x 12007

Step 2: Find the prime factorization of 36027

36027 = 3 x 3 x 4003

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

LCM = 432576189 = 3 x 3 x 4003 x 12007

Step 4: Therefore, the least common multiple of 36021 and 36027 is 432576189.