Least Common Multiple of 39237 and 39244

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

• Least Common Multiple of 39237 and 39244 by Prime method
• Least Common Multiple of 39237 and 39244 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39237 and 39244. First we will calculate the prime factors of 39237 and 39244.

Prime Factorization of 39237

Prime factors of 39237 are 3, 11, 29,41. Prime factorization of 39237 in exponential form is:

39237 = 3¹×11¹×29¹×41¹

Prime Factorization of 39244

Prime factors of 39244 are 2,9811. Prime factorization of 39244 in exponential form is:

39244 = 2²×9811¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39237 and 39244.

LCM(39237,39244) = 2²×3¹×11¹×29¹×41¹×9811¹
LCM(39237,39244) = 1539816828

Factors of 39237

List of positive integer factors of 39237 that divides 39237 without a remainder.

1, 3, 11, 29, 33, 41, 87, 123, 319, 451, 957, 1189, 1353, 3567, 13079, 39237

Factors of 39244

List of positive integer factors of 39244 that divides 39244 without a remainder.

1, 2, 4, 9811, 19622, 39244

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39237 and 39244, than apply into the LCM equation.

GCF(39237,39244) = 1
LCM(39237,39244) = ( 39237 × 39244) / 1
LCM(39237,39244) = 1539816828 / 1
LCM(39237,39244) = 1539816828

(i) The LCM of 39244 and 39237 is associative

LCM of 39237 and 39244 = LCM of 39244 and 39237

1. What is the LCM of 39237 and 39244?

Answer: LCM of 39237 and 39244 is 1539816828.

2. What are the Factors of 39237?

Answer: Factors of 39237 are 1, 3, 11, 29, 33, 41, 87, 123, 319, 451, 957, 1189, 1353, 3567, 13079, 39237. There are 16 integers that are factors of 39237. The greatest factor of 39237 is 39237.

3. What are the Factors of 39244?

Answer: Factors of 39244 are 1, 2, 4, 9811, 19622, 39244. There are 6 integers that are factors of 39244. The greatest factor of 39244 is 39244.

4. How to Find the LCM of 39237 and 39244?

Answer:

Least Common Multiple of 39237 and 39244 = 1539816828

Step 1: Find the prime factorization of 39237

39237 = 3 x 11 x 29 x 41

Step 2: Find the prime factorization of 39244

39244 = 2 x 2 x 9811

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

LCM = 1539816828 = 2 x 2 x 3 x 11 x 29 x 41 x 9811

Step 4: Therefore, the least common multiple of 39237 and 39244 is 1539816828.