Least Common Multiple of 36029 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 36029 and 36033 the smallest integer that is 1298232957 that is divisible by both numbers.

Least Common Multiple (LCM) of 36029 and 36033 is 1298232957.

LCM(36029,36033) = 1298232957

LCM of 36029 and 36033

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

LCM of:
and

Least Common Multiple of 36029 and 36033

LCM of 36029 and 36033 is 1298232957

Least common multiple can be found by multiplying the highest exponent prime factors of 36029 and 36033. First we will calculate the prime factors of 36029 and 36033.

Prime Factorization of 36029


7 36029
5147 5147
1

Prime factors of 36029 are 7,5147. Prime factorization of 36029 in exponential form is:

36029 = 71×51471

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 36029 and 36033.

LCM(36029,36033) = 31×71×51471×120111
LCM(36029,36033) = 1298232957

Factors of 36029

List of positive integer factors of 36029 that divides 36029 without a remainder.

1, 7, 5147, 36029

Factors of 36033

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

1, 3, 12011, 36033

Least Common Multiple of 36029 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 36029 and 36033, than apply into the LCM equation.

GCF(36029,36033) = 1
LCM(36029,36033) = ( 36029 × 36033) / 1
LCM(36029,36033) = 1298232957 / 1
LCM(36029,36033) = 1298232957

Properties of LCM 36029 and 36033

(i) The LCM of 36033 and 36029 is associative

LCM of 36029 and 36033 = LCM of 36033 and 36029

Related Least Common Multiples of 36029

Related Least Common Multiples of 36033

Frequently Asked Questions on LCM of 36029 and 36033

1. What is the LCM of 36029 and 36033?

Answer: LCM of 36029 and 36033 is 1298232957.

2. What are the Factors of 36029?

Answer: Factors of 36029 are 1, 7, 5147, 36029. There are 4 integers that are factors of 36029. The greatest factor of 36029 is 36029.

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 36029 and 36033?

Answer:

Least Common Multiple of 36029 and 36033 = 1298232957

Step 1: Find the prime factorization of 36029

36029 = 7 x 5147

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 = 1298232957 = 3 x 7 x 5147 x 12011

Step 4: Therefore, the least common multiple of 36029 and 36033 is 1298232957.