Least Common Multiple of 36022 and 36028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36022 and 36028 the smallest integer that is 648900308 that is divisible by both numbers.

Least Common Multiple (LCM) of 36022 and 36028 is 648900308.

LCM(36022,36028) = 648900308

LCM of 36022 and 36028

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

LCM of:
and

Least Common Multiple of 36022 and 36028

LCM of 36022 and 36028 is 648900308

Least common multiple can be found by multiplying the highest exponent prime factors of 36022 and 36028. First we will calculate the prime factors of 36022 and 36028.

Prime Factorization of 36022


2 36022
7 18011
31 2573
83 83
1

Prime factors of 36022 are 2, 7, 31,83. Prime factorization of 36022 in exponential form is:

36022 = 21×71×311×831

Prime Factorization of 36028


2 36028
2 18014
9007 9007
1

Prime factors of 36028 are 2,9007. Prime factorization of 36028 in exponential form is:

36028 = 22×90071

Now multiplying the highest exponent prime factors to calculate the LCM of 36022 and 36028.

LCM(36022,36028) = 22×71×311×831×90071
LCM(36022,36028) = 648900308

Factors of 36022

List of positive integer factors of 36022 that divides 36022 without a remainder.

1, 2, 7, 14, 31, 62, 83, 166, 217, 434, 581, 1162, 2573, 5146, 18011, 36022

Factors of 36028

List of positive integer factors of 36028 that divides 36028 without a remainder.

1, 2, 4, 9007, 18014, 36028

Least Common Multiple of 36022 and 36028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36022 and 36028, than apply into the LCM equation.

GCF(36022,36028) = 2
LCM(36022,36028) = ( 36022 × 36028) / 2
LCM(36022,36028) = 1297800616 / 2
LCM(36022,36028) = 648900308

Properties of LCM 36022 and 36028

(i) The LCM of 36028 and 36022 is associative

LCM of 36022 and 36028 = LCM of 36028 and 36022

Related Least Common Multiples of 36022

Related Least Common Multiples of 36028

Frequently Asked Questions on LCM of 36022 and 36028

1. What is the LCM of 36022 and 36028?

Answer: LCM of 36022 and 36028 is 648900308.

2. What are the Factors of 36022?

Answer: Factors of 36022 are 1, 2, 7, 14, 31, 62, 83, 166, 217, 434, 581, 1162, 2573, 5146, 18011, 36022. There are 16 integers that are factors of 36022. The greatest factor of 36022 is 36022.

3. What are the Factors of 36028?

Answer: Factors of 36028 are 1, 2, 4, 9007, 18014, 36028. There are 6 integers that are factors of 36028. The greatest factor of 36028 is 36028.

4. How to Find the LCM of 36022 and 36028?

Answer:

Least Common Multiple of 36022 and 36028 = 648900308

Step 1: Find the prime factorization of 36022

36022 = 2 x 7 x 31 x 83

Step 2: Find the prime factorization of 36028

36028 = 2 x 2 x 9007

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

LCM = 648900308 = 2 x 2 x 7 x 31 x 83 x 9007

Step 4: Therefore, the least common multiple of 36022 and 36028 is 648900308.