Least Common Multiple of 39230 and 39235

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

• Least Common Multiple of 39230 and 39235 by Prime method
• Least Common Multiple of 39230 and 39235 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39230 and 39235. First we will calculate the prime factors of 39230 and 39235.

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 39235

Prime factors of 39235 are 5, 7, 19,59. Prime factorization of 39235 in exponential form is:

39235 = 5¹×7¹×19¹×59¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39230 and 39235.

LCM(39230,39235) = 2¹×5¹×7¹×19¹×59¹×3923¹
LCM(39230,39235) = 307837810

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 39235

List of positive integer factors of 39235 that divides 39235 without a remainder.

1, 5, 7, 19, 35, 59, 95, 133, 295, 413, 665, 1121, 2065, 5605, 7847, 39235

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39230 and 39235, than apply into the LCM equation.

GCF(39230,39235) = 5
LCM(39230,39235) = ( 39230 × 39235) / 5
LCM(39230,39235) = 1539189050 / 5
LCM(39230,39235) = 307837810

(i) The LCM of 39235 and 39230 is associative

LCM of 39230 and 39235 = LCM of 39235 and 39230

1. What is the LCM of 39230 and 39235?

Answer: LCM of 39230 and 39235 is 307837810.

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 39235?

Answer: Factors of 39235 are 1, 5, 7, 19, 35, 59, 95, 133, 295, 413, 665, 1121, 2065, 5605, 7847, 39235. There are 16 integers that are factors of 39235. The greatest factor of 39235 is 39235.

4. How to Find the LCM of 39230 and 39235?

Answer:

Least Common Multiple of 39230 and 39235 = 307837810

Step 1: Find the prime factorization of 39230

39230 = 2 x 5 x 3923

Step 2: Find the prime factorization of 39235

39235 = 5 x 7 x 19 x 59

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

LCM = 307837810 = 2 x 5 x 7 x 19 x 59 x 3923

Step 4: Therefore, the least common multiple of 39230 and 39235 is 307837810.