Least Common Multiple of 39185 and 39190

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

• Least Common Multiple of 39185 and 39190 by Prime method
• Least Common Multiple of 39185 and 39190 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39185 and 39190. First we will calculate the prime factors of 39185 and 39190.

Prime Factorization of 39185

Prime factors of 39185 are 5, 17,461. Prime factorization of 39185 in exponential form is:

39185 = 5¹×17¹×461¹

Prime Factorization of 39190

Prime factors of 39190 are 2, 5,3919. Prime factorization of 39190 in exponential form is:

39190 = 2¹×5¹×3919¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39185 and 39190.

LCM(39185,39190) = 2¹×5¹×17¹×461¹×3919¹
LCM(39185,39190) = 307132030

Factors of 39185

List of positive integer factors of 39185 that divides 39185 without a remainder.

1, 5, 17, 85, 461, 2305, 7837, 39185

Factors of 39190

List of positive integer factors of 39190 that divides 39190 without a remainder.

1, 2, 5, 10, 3919, 7838, 19595, 39190

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39185 and 39190, than apply into the LCM equation.

GCF(39185,39190) = 5
LCM(39185,39190) = ( 39185 × 39190) / 5
LCM(39185,39190) = 1535660150 / 5
LCM(39185,39190) = 307132030

(i) The LCM of 39190 and 39185 is associative

LCM of 39185 and 39190 = LCM of 39190 and 39185

1. What is the LCM of 39185 and 39190?

Answer: LCM of 39185 and 39190 is 307132030.

2. What are the Factors of 39185?

Answer: Factors of 39185 are 1, 5, 17, 85, 461, 2305, 7837, 39185. There are 8 integers that are factors of 39185. The greatest factor of 39185 is 39185.

3. What are the Factors of 39190?

Answer: Factors of 39190 are 1, 2, 5, 10, 3919, 7838, 19595, 39190. There are 8 integers that are factors of 39190. The greatest factor of 39190 is 39190.

4. How to Find the LCM of 39185 and 39190?

Answer:

Least Common Multiple of 39185 and 39190 = 307132030

Step 1: Find the prime factorization of 39185

39185 = 5 x 17 x 461

Step 2: Find the prime factorization of 39190

39190 = 2 x 5 x 3919

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

LCM = 307132030 = 2 x 5 x 17 x 461 x 3919

Step 4: Therefore, the least common multiple of 39185 and 39190 is 307132030.