Least Common Multiple of 36006 and 36014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 36006 and 36014 the smallest integer that is 648360042 that is divisible by both numbers.

Least Common Multiple (LCM) of 36006 and 36014 is 648360042.

LCM(36006,36014) = 648360042

LCM of 36006 and 36014

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

LCM of:
and

Least Common Multiple of 36006 and 36014

LCM of 36006 and 36014 is 648360042

Least common multiple can be found by multiplying the highest exponent prime factors of 36006 and 36014. First we will calculate the prime factors of 36006 and 36014.

Prime Factorization of 36006


2 36006
3 18003
17 6001
353 353
1

Prime factors of 36006 are 2, 3, 17,353. Prime factorization of 36006 in exponential form is:

36006 = 21×31×171×3531

Prime Factorization of 36014


2 36014
11 18007
1637 1637
1

Prime factors of 36014 are 2, 11,1637. Prime factorization of 36014 in exponential form is:

36014 = 21×111×16371

Now multiplying the highest exponent prime factors to calculate the LCM of 36006 and 36014.

LCM(36006,36014) = 21×31×111×171×3531×16371
LCM(36006,36014) = 648360042

Factors of 36006

List of positive integer factors of 36006 that divides 36006 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 353, 706, 1059, 2118, 6001, 12002, 18003, 36006

Factors of 36014

List of positive integer factors of 36014 that divides 36014 without a remainder.

1, 2, 11, 22, 1637, 3274, 18007, 36014

Least Common Multiple of 36006 and 36014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36006 and 36014, than apply into the LCM equation.

GCF(36006,36014) = 2
LCM(36006,36014) = ( 36006 × 36014) / 2
LCM(36006,36014) = 1296720084 / 2
LCM(36006,36014) = 648360042

Properties of LCM 36006 and 36014

(i) The LCM of 36014 and 36006 is associative

LCM of 36006 and 36014 = LCM of 36014 and 36006

Related Least Common Multiples of 36006

Related Least Common Multiples of 36014

Frequently Asked Questions on LCM of 36006 and 36014

1. What is the LCM of 36006 and 36014?

Answer: LCM of 36006 and 36014 is 648360042.

2. What are the Factors of 36006?

Answer: Factors of 36006 are 1, 2, 3, 6, 17, 34, 51, 102, 353, 706, 1059, 2118, 6001, 12002, 18003, 36006. There are 16 integers that are factors of 36006. The greatest factor of 36006 is 36006.

3. What are the Factors of 36014?

Answer: Factors of 36014 are 1, 2, 11, 22, 1637, 3274, 18007, 36014. There are 8 integers that are factors of 36014. The greatest factor of 36014 is 36014.

4. How to Find the LCM of 36006 and 36014?

Answer:

Least Common Multiple of 36006 and 36014 = 648360042

Step 1: Find the prime factorization of 36006

36006 = 2 x 3 x 17 x 353

Step 2: Find the prime factorization of 36014

36014 = 2 x 11 x 1637

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

LCM = 648360042 = 2 x 3 x 11 x 17 x 353 x 1637

Step 4: Therefore, the least common multiple of 36006 and 36014 is 648360042.