Least Common Multiple of 36014 and 36021

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

• Least Common Multiple of 36014 and 36021 by Prime method
• Least Common Multiple of 36014 and 36021 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36014 and 36021. First we will calculate the prime factors of 36014 and 36021.

Prime Factorization of 36014

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

36014 = 2¹×11¹×1637¹

Prime Factorization of 36021

Prime factors of 36021 are 3,12007. Prime factorization of 36021 in exponential form is:

36021 = 3¹×12007¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36014 and 36021.

LCM(36014,36021) = 2¹×3¹×11¹×1637¹×12007¹
LCM(36014,36021) = 1297260294

Factors of 36014

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

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

Factors of 36021

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

1, 3, 12007, 36021

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36014 and 36021, than apply into the LCM equation.

GCF(36014,36021) = 1
LCM(36014,36021) = ( 36014 × 36021) / 1
LCM(36014,36021) = 1297260294 / 1
LCM(36014,36021) = 1297260294

(i) The LCM of 36021 and 36014 is associative

LCM of 36014 and 36021 = LCM of 36021 and 36014

1. What is the LCM of 36014 and 36021?

Answer: LCM of 36014 and 36021 is 1297260294.

2. 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.

3. 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.

4. How to Find the LCM of 36014 and 36021?

Answer:

Least Common Multiple of 36014 and 36021 = 1297260294

Step 1: Find the prime factorization of 36014

36014 = 2 x 11 x 1637

Step 2: Find the prime factorization of 36021

36021 = 3 x 12007

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

LCM = 1297260294 = 2 x 3 x 11 x 1637 x 12007

Step 4: Therefore, the least common multiple of 36014 and 36021 is 1297260294.