Least Common Multiple of 36027 and 36033

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36027 and 36033 the smallest integer that is 432720297 that is divisible by both numbers.

Least Common Multiple (LCM) of 36027 and 36033 is 432720297.

LCM(36027,36033) = 432720297

LCM of 36027 and 36033

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

LCM of:
and

Least Common Multiple of 36027 and 36033

LCM of 36027 and 36033 is 432720297

Least common multiple can be found by multiplying the highest exponent prime factors of 36027 and 36033. First we will calculate the prime factors of 36027 and 36033.

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

Prime Factorization of 36033


3 36033
12011 12011
1

Prime factors of 36033 are 3,12011. Prime factorization of 36033 in exponential form is:

36033 = 31×120111

Now multiplying the highest exponent prime factors to calculate the LCM of 36027 and 36033.

LCM(36027,36033) = 32×40031×120111
LCM(36027,36033) = 432720297

Factors of 36027

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

1, 3, 9, 4003, 12009, 36027

Factors of 36033

List of positive integer factors of 36033 that divides 36033 without a remainder.

1, 3, 12011, 36033

Least Common Multiple of 36027 and 36033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36027 and 36033, than apply into the LCM equation.

GCF(36027,36033) = 3
LCM(36027,36033) = ( 36027 × 36033) / 3
LCM(36027,36033) = 1298160891 / 3
LCM(36027,36033) = 432720297

Properties of LCM 36027 and 36033

(i) The LCM of 36033 and 36027 is associative

LCM of 36027 and 36033 = LCM of 36033 and 36027

Related Least Common Multiples of 36027

Related Least Common Multiples of 36033

Frequently Asked Questions on LCM of 36027 and 36033

1. What is the LCM of 36027 and 36033?

Answer: LCM of 36027 and 36033 is 432720297.

2. 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.

3. What are the Factors of 36033?

Answer: Factors of 36033 are 1, 3, 12011, 36033. There are 4 integers that are factors of 36033. The greatest factor of 36033 is 36033.

4. How to Find the LCM of 36027 and 36033?

Answer:

Least Common Multiple of 36027 and 36033 = 432720297

Step 1: Find the prime factorization of 36027

36027 = 3 x 3 x 4003

Step 2: Find the prime factorization of 36033

36033 = 3 x 12011

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

LCM = 432720297 = 3 x 3 x 4003 x 12011

Step 4: Therefore, the least common multiple of 36027 and 36033 is 432720297.