Least Common Multiple of 39230 and 39237

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

• Least Common Multiple of 39230 and 39237 by Prime method
• Least Common Multiple of 39230 and 39237 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39230 and 39237. First we will calculate the prime factors of 39230 and 39237.

Prime Factorization of 39230

Prime factors of 39230 are 2, 5,3923. Prime factorization of 39230 in exponential form is:

39230 = 2¹×5¹×3923¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 39230 and 39237.

LCM(39230,39237) = 2¹×3¹×5¹×11¹×29¹×41¹×3923¹
LCM(39230,39237) = 1539267510

Factors of 39230

List of positive integer factors of 39230 that divides 39230 without a remainder.

1, 2, 5, 10, 3923, 7846, 19615, 39230

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39230 and 39237, than apply into the LCM equation.

GCF(39230,39237) = 1
LCM(39230,39237) = ( 39230 × 39237) / 1
LCM(39230,39237) = 1539267510 / 1
LCM(39230,39237) = 1539267510

(i) The LCM of 39237 and 39230 is associative

LCM of 39230 and 39237 = LCM of 39237 and 39230

1. What is the LCM of 39230 and 39237?

Answer: LCM of 39230 and 39237 is 1539267510.

2. What are the Factors of 39230?

Answer: Factors of 39230 are 1, 2, 5, 10, 3923, 7846, 19615, 39230. There are 8 integers that are factors of 39230. The greatest factor of 39230 is 39230.

3. 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.

4. How to Find the LCM of 39230 and 39237?

Answer:

Least Common Multiple of 39230 and 39237 = 1539267510

Step 1: Find the prime factorization of 39230

39230 = 2 x 5 x 3923

Step 2: Find the prime factorization of 39237

39237 = 3 x 11 x 29 x 41

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

LCM = 1539267510 = 2 x 3 x 5 x 11 x 29 x 41 x 3923

Step 4: Therefore, the least common multiple of 39230 and 39237 is 1539267510.