Least Common Multiple of 36034 and 36042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36034 and 36042 the smallest integer that is 649368714 that is divisible by both numbers.

Least Common Multiple (LCM) of 36034 and 36042 is 649368714.

LCM(36034,36042) = 649368714

LCM of 36034 and 36042

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

LCM of:
and

Least Common Multiple of 36034 and 36042

LCM of 36034 and 36042 is 649368714

Least common multiple can be found by multiplying the highest exponent prime factors of 36034 and 36042. First we will calculate the prime factors of 36034 and 36042.

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

Prime Factorization of 36042


2 36042
3 18021
6007 6007
1

Prime factors of 36042 are 2, 3,6007. Prime factorization of 36042 in exponential form is:

36042 = 21×31×60071

Now multiplying the highest exponent prime factors to calculate the LCM of 36034 and 36042.

LCM(36034,36042) = 21×31×431×4191×60071
LCM(36034,36042) = 649368714

Factors of 36034

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

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

Factors of 36042

List of positive integer factors of 36042 that divides 36042 without a remainder.

1, 2, 3, 6, 6007, 12014, 18021, 36042

Least Common Multiple of 36034 and 36042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36034 and 36042, than apply into the LCM equation.

GCF(36034,36042) = 2
LCM(36034,36042) = ( 36034 × 36042) / 2
LCM(36034,36042) = 1298737428 / 2
LCM(36034,36042) = 649368714

Properties of LCM 36034 and 36042

(i) The LCM of 36042 and 36034 is associative

LCM of 36034 and 36042 = LCM of 36042 and 36034

Related Least Common Multiples of 36034

Related Least Common Multiples of 36042

Frequently Asked Questions on LCM of 36034 and 36042

1. What is the LCM of 36034 and 36042?

Answer: LCM of 36034 and 36042 is 649368714.

2. 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.

3. What are the Factors of 36042?

Answer: Factors of 36042 are 1, 2, 3, 6, 6007, 12014, 18021, 36042. There are 8 integers that are factors of 36042. The greatest factor of 36042 is 36042.

4. How to Find the LCM of 36034 and 36042?

Answer:

Least Common Multiple of 36034 and 36042 = 649368714

Step 1: Find the prime factorization of 36034

36034 = 2 x 43 x 419

Step 2: Find the prime factorization of 36042

36042 = 2 x 3 x 6007

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

LCM = 649368714 = 2 x 3 x 43 x 419 x 6007

Step 4: Therefore, the least common multiple of 36034 and 36042 is 649368714.