Least Common Multiple of 39185 and 39188

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

• Least Common Multiple of 39185 and 39188 by Prime method
• Least Common Multiple of 39185 and 39188 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39185 and 39188. First we will calculate the prime factors of 39185 and 39188.

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 39188

Prime factors of 39188 are 2, 97,101. Prime factorization of 39188 in exponential form is:

39188 = 2²×97¹×101¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39185 and 39188.

LCM(39185,39188) = 2²×5¹×17¹×97¹×101¹×461¹
LCM(39185,39188) = 1535581780

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 39188

List of positive integer factors of 39188 that divides 39188 without a remainder.

1, 2, 4, 97, 101, 194, 202, 388, 404, 9797, 19594, 39188

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39185 and 39188, than apply into the LCM equation.

GCF(39185,39188) = 1
LCM(39185,39188) = ( 39185 × 39188) / 1
LCM(39185,39188) = 1535581780 / 1
LCM(39185,39188) = 1535581780

(i) The LCM of 39188 and 39185 is associative

LCM of 39185 and 39188 = LCM of 39188 and 39185

1. What is the LCM of 39185 and 39188?

Answer: LCM of 39185 and 39188 is 1535581780.

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 39188?

Answer: Factors of 39188 are 1, 2, 4, 97, 101, 194, 202, 388, 404, 9797, 19594, 39188. There are 12 integers that are factors of 39188. The greatest factor of 39188 is 39188.

4. How to Find the LCM of 39185 and 39188?

Answer:

Least Common Multiple of 39185 and 39188 = 1535581780

Step 1: Find the prime factorization of 39185

39185 = 5 x 17 x 461

Step 2: Find the prime factorization of 39188

39188 = 2 x 2 x 97 x 101

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

LCM = 1535581780 = 2 x 2 x 5 x 17 x 97 x 101 x 461

Step 4: Therefore, the least common multiple of 39185 and 39188 is 1535581780.