Least Common Multiple of 36129 and 36136

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

• Least Common Multiple of 36129 and 36136 by Prime method
• Least Common Multiple of 36129 and 36136 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 36129 and 36136. First we will calculate the prime factors of 36129 and 36136.

Prime Factorization of 36129

Prime factors of 36129 are 3,12043. Prime factorization of 36129 in exponential form is:

36129 = 3¹×12043¹

Prime Factorization of 36136

Prime factors of 36136 are 2,4517. Prime factorization of 36136 in exponential form is:

36136 = 2³×4517¹

Now multiplying the highest exponent prime factors to calculate the LCM of 36129 and 36136.

LCM(36129,36136) = 2³×3¹×4517¹×12043¹
LCM(36129,36136) = 1305557544

Factors of 36129

List of positive integer factors of 36129 that divides 36129 without a remainder.

1, 3, 12043, 36129

Factors of 36136

List of positive integer factors of 36136 that divides 36136 without a remainder.

1, 2, 4, 8, 4517, 9034, 18068, 36136

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36129 and 36136, than apply into the LCM equation.

GCF(36129,36136) = 1
LCM(36129,36136) = ( 36129 × 36136) / 1
LCM(36129,36136) = 1305557544 / 1
LCM(36129,36136) = 1305557544

(i) The LCM of 36136 and 36129 is associative

LCM of 36129 and 36136 = LCM of 36136 and 36129

1. What is the LCM of 36129 and 36136?

Answer: LCM of 36129 and 36136 is 1305557544.

2. What are the Factors of 36129?

Answer: Factors of 36129 are 1, 3, 12043, 36129. There are 4 integers that are factors of 36129. The greatest factor of 36129 is 36129.

3. What are the Factors of 36136?

Answer: Factors of 36136 are 1, 2, 4, 8, 4517, 9034, 18068, 36136. There are 8 integers that are factors of 36136. The greatest factor of 36136 is 36136.

4. How to Find the LCM of 36129 and 36136?

Answer:

Least Common Multiple of 36129 and 36136 = 1305557544

Step 1: Find the prime factorization of 36129

36129 = 3 x 12043

Step 2: Find the prime factorization of 36136

36136 = 2 x 2 x 2 x 4517

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

LCM = 1305557544 = 2 x 2 x 2 x 3 x 4517 x 12043

Step 4: Therefore, the least common multiple of 36129 and 36136 is 1305557544.