Least Common Multiple of 36028 and 36034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36028 and 36034 the smallest integer that is 649116476 that is divisible by both numbers.

Least Common Multiple (LCM) of 36028 and 36034 is 649116476.

LCM(36028,36034) = 649116476

LCM of 36028 and 36034

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

LCM of:
and

Least Common Multiple of 36028 and 36034

LCM of 36028 and 36034 is 649116476

Least common multiple can be found by multiplying the highest exponent prime factors of 36028 and 36034. First we will calculate the prime factors of 36028 and 36034.

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

Prime Factorization of 36034


2 36034
43 18017
419 419
1

Prime factors of 36034 are 2, 43,419. Prime factorization of 36034 in exponential form is:

36034 = 21×431×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 36028 and 36034.

LCM(36028,36034) = 22×431×4191×90071
LCM(36028,36034) = 649116476

Factors of 36028

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

1, 2, 4, 9007, 18014, 36028

Factors of 36034

List of positive integer factors of 36034 that divides 36034 without a remainder.

1, 2, 43, 86, 419, 838, 18017, 36034

Least Common Multiple of 36028 and 36034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36028 and 36034, than apply into the LCM equation.

GCF(36028,36034) = 2
LCM(36028,36034) = ( 36028 × 36034) / 2
LCM(36028,36034) = 1298232952 / 2
LCM(36028,36034) = 649116476

Properties of LCM 36028 and 36034

(i) The LCM of 36034 and 36028 is associative

LCM of 36028 and 36034 = LCM of 36034 and 36028

Related Least Common Multiples of 36028

Related Least Common Multiples of 36034

Frequently Asked Questions on LCM of 36028 and 36034

1. What is the LCM of 36028 and 36034?

Answer: LCM of 36028 and 36034 is 649116476.

2. 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.

3. What are the Factors of 36034?

Answer: Factors of 36034 are 1, 2, 43, 86, 419, 838, 18017, 36034. There are 8 integers that are factors of 36034. The greatest factor of 36034 is 36034.

4. How to Find the LCM of 36028 and 36034?

Answer:

Least Common Multiple of 36028 and 36034 = 649116476

Step 1: Find the prime factorization of 36028

36028 = 2 x 2 x 9007

Step 2: Find the prime factorization of 36034

36034 = 2 x 43 x 419

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

LCM = 649116476 = 2 x 2 x 43 x 419 x 9007

Step 4: Therefore, the least common multiple of 36028 and 36034 is 649116476.