Least Common Multiple of 39195 and 39199

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

• Least Common Multiple of 39195 and 39199 by Prime method
• Least Common Multiple of 39195 and 39199 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39195 and 39199. First we will calculate the prime factors of 39195 and 39199.

Prime Factorization of 39195

Prime factors of 39195 are 3, 5, 13,67. Prime factorization of 39195 in exponential form is:

39195 = 3²×5¹×13¹×67¹

Prime Factorization of 39199

Prime factors of 39199 are 39199. Prime factorization of 39199 in exponential form is:

39199 = 39199¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39195 and 39199.

LCM(39195,39199) = 3²×5¹×13¹×67¹×39199¹
LCM(39195,39199) = 1536404805

Factors of 39195

List of positive integer factors of 39195 that divides 39195 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 67, 117, 195, 201, 335, 585, 603, 871, 1005, 2613, 3015, 4355, 7839, 13065, 39195

Factors of 39199

List of positive integer factors of 39199 that divides 39199 without a remainder.

1, 39199

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39195 and 39199, than apply into the LCM equation.

GCF(39195,39199) = 1
LCM(39195,39199) = ( 39195 × 39199) / 1
LCM(39195,39199) = 1536404805 / 1
LCM(39195,39199) = 1536404805

(i) The LCM of 39199 and 39195 is associative

LCM of 39195 and 39199 = LCM of 39199 and 39195

1. What is the LCM of 39195 and 39199?

Answer: LCM of 39195 and 39199 is 1536404805.

2. What are the Factors of 39195?

Answer: Factors of 39195 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 67, 117, 195, 201, 335, 585, 603, 871, 1005, 2613, 3015, 4355, 7839, 13065, 39195. There are 24 integers that are factors of 39195. The greatest factor of 39195 is 39195.

3. What are the Factors of 39199?

Answer: Factors of 39199 are 1, 39199. There are 2 integers that are factors of 39199. The greatest factor of 39199 is 39199.

4. How to Find the LCM of 39195 and 39199?

Answer:

Least Common Multiple of 39195 and 39199 = 1536404805

Step 1: Find the prime factorization of 39195

39195 = 3 x 3 x 5 x 13 x 67

Step 2: Find the prime factorization of 39199

39199 = 39199

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

LCM = 1536404805 = 3 x 3 x 5 x 13 x 67 x 39199

Step 4: Therefore, the least common multiple of 39195 and 39199 is 1536404805.