Least Common Multiple of 39195 and 39202

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

• Least Common Multiple of 39195 and 39202 by Prime method
• Least Common Multiple of 39195 and 39202 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39195 and 39202. First we will calculate the prime factors of 39195 and 39202.

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 39202

Prime factors of 39202 are 2, 17,1153. Prime factorization of 39202 in exponential form is:

39202 = 2¹×17¹×1153¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39195 and 39202.

LCM(39195,39202) = 2¹×3²×5¹×13¹×17¹×67¹×1153¹
LCM(39195,39202) = 1536522390

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 39202

List of positive integer factors of 39202 that divides 39202 without a remainder.

1, 2, 17, 34, 1153, 2306, 19601, 39202

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39195 and 39202, than apply into the LCM equation.

GCF(39195,39202) = 1
LCM(39195,39202) = ( 39195 × 39202) / 1
LCM(39195,39202) = 1536522390 / 1
LCM(39195,39202) = 1536522390

(i) The LCM of 39202 and 39195 is associative

LCM of 39195 and 39202 = LCM of 39202 and 39195

1. What is the LCM of 39195 and 39202?

Answer: LCM of 39195 and 39202 is 1536522390.

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 39202?

Answer: Factors of 39202 are 1, 2, 17, 34, 1153, 2306, 19601, 39202. There are 8 integers that are factors of 39202. The greatest factor of 39202 is 39202.

4. How to Find the LCM of 39195 and 39202?

Answer:

Least Common Multiple of 39195 and 39202 = 1536522390

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 39202

39202 = 2 x 17 x 1153

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

LCM = 1536522390 = 2 x 3 x 3 x 5 x 13 x 17 x 67 x 1153

Step 4: Therefore, the least common multiple of 39195 and 39202 is 1536522390.