Least Common Multiple of 39044 and 39051

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

• Least Common Multiple of 39044 and 39051 by Prime method
• Least Common Multiple of 39044 and 39051 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39044 and 39051. First we will calculate the prime factors of 39044 and 39051.

Prime Factorization of 39044

Prime factors of 39044 are 2, 43,227. Prime factorization of 39044 in exponential form is:

39044 = 2²×43¹×227¹

Prime Factorization of 39051

Prime factors of 39051 are 3,4339. Prime factorization of 39051 in exponential form is:

39051 = 3²×4339¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39044 and 39051.

LCM(39044,39051) = 2²×3²×43¹×227¹×4339¹
LCM(39044,39051) = 1524707244

Factors of 39044

List of positive integer factors of 39044 that divides 39044 without a remainder.

1, 2, 4, 43, 86, 172, 227, 454, 908, 9761, 19522, 39044

Factors of 39051

List of positive integer factors of 39051 that divides 39051 without a remainder.

1, 3, 9, 4339, 13017, 39051

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39044 and 39051, than apply into the LCM equation.

GCF(39044,39051) = 1
LCM(39044,39051) = ( 39044 × 39051) / 1
LCM(39044,39051) = 1524707244 / 1
LCM(39044,39051) = 1524707244

(i) The LCM of 39051 and 39044 is associative

LCM of 39044 and 39051 = LCM of 39051 and 39044

1. What is the LCM of 39044 and 39051?

Answer: LCM of 39044 and 39051 is 1524707244.

2. What are the Factors of 39044?

Answer: Factors of 39044 are 1, 2, 4, 43, 86, 172, 227, 454, 908, 9761, 19522, 39044. There are 12 integers that are factors of 39044. The greatest factor of 39044 is 39044.

3. What are the Factors of 39051?

Answer: Factors of 39051 are 1, 3, 9, 4339, 13017, 39051. There are 6 integers that are factors of 39051. The greatest factor of 39051 is 39051.

4. How to Find the LCM of 39044 and 39051?

Answer:

Least Common Multiple of 39044 and 39051 = 1524707244

Step 1: Find the prime factorization of 39044

39044 = 2 x 2 x 43 x 227

Step 2: Find the prime factorization of 39051

39051 = 3 x 3 x 4339

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

LCM = 1524707244 = 2 x 2 x 3 x 3 x 43 x 227 x 4339

Step 4: Therefore, the least common multiple of 39044 and 39051 is 1524707244.