Least Common Multiple of 36021 and 36026

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 36026 the smallest integer that is 1297692546 that is divisible by both numbers.

Least Common Multiple (LCM) of 36021 and 36026 is 1297692546.

LCM(36021,36026) = 1297692546

LCM of 36021 and 36026

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

LCM of:
and

Least Common Multiple of 36021 and 36026

LCM of 36021 and 36026 is 1297692546

Least common multiple can be found by multiplying the highest exponent prime factors of 36021 and 36026. First we will calculate the prime factors of 36021 and 36026.

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 36026


2 36026
18013 18013
1

Prime factors of 36026 are 2,18013. Prime factorization of 36026 in exponential form is:

36026 = 21×180131

Now multiplying the highest exponent prime factors to calculate the LCM of 36021 and 36026.

LCM(36021,36026) = 21×31×120071×180131
LCM(36021,36026) = 1297692546

Factors of 36021

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

1, 3, 12007, 36021

Factors of 36026

List of positive integer factors of 36026 that divides 36026 without a remainder.

1, 2, 18013, 36026

Least Common Multiple of 36021 and 36026 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 36026, than apply into the LCM equation.

GCF(36021,36026) = 1
LCM(36021,36026) = ( 36021 × 36026) / 1
LCM(36021,36026) = 1297692546 / 1
LCM(36021,36026) = 1297692546

Properties of LCM 36021 and 36026

(i) The LCM of 36026 and 36021 is associative

LCM of 36021 and 36026 = LCM of 36026 and 36021

Related Least Common Multiples of 36021

Related Least Common Multiples of 36026

Frequently Asked Questions on LCM of 36021 and 36026

1. What is the LCM of 36021 and 36026?

Answer: LCM of 36021 and 36026 is 1297692546.

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 36026?

Answer: Factors of 36026 are 1, 2, 18013, 36026. There are 4 integers that are factors of 36026. The greatest factor of 36026 is 36026.

4. How to Find the LCM of 36021 and 36026?

Answer:

Least Common Multiple of 36021 and 36026 = 1297692546

Step 1: Find the prime factorization of 36021

36021 = 3 x 12007

Step 2: Find the prime factorization of 36026

36026 = 2 x 18013

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

LCM = 1297692546 = 2 x 3 x 12007 x 18013

Step 4: Therefore, the least common multiple of 36021 and 36026 is 1297692546.