Least Common Multiple of 39197 and 39202

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

• Least Common Multiple of 39197 and 39202 by Prime method
• Least Common Multiple of 39197 and 39202 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39197 and 39202. First we will calculate the prime factors of 39197 and 39202.

Prime Factorization of 39197

Prime factors of 39197 are 19,2063. Prime factorization of 39197 in exponential form is:

39197 = 19¹×2063¹

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 39197 and 39202.

LCM(39197,39202) = 2¹×17¹×19¹×1153¹×2063¹
LCM(39197,39202) = 1536600794

Factors of 39197

List of positive integer factors of 39197 that divides 39197 without a remainder.

1, 19, 2063, 39197

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 39197 and 39202, than apply into the LCM equation.

GCF(39197,39202) = 1
LCM(39197,39202) = ( 39197 × 39202) / 1
LCM(39197,39202) = 1536600794 / 1
LCM(39197,39202) = 1536600794

(i) The LCM of 39202 and 39197 is associative

LCM of 39197 and 39202 = LCM of 39202 and 39197

1. What is the LCM of 39197 and 39202?

Answer: LCM of 39197 and 39202 is 1536600794.

2. What are the Factors of 39197?

Answer: Factors of 39197 are 1, 19, 2063, 39197. There are 4 integers that are factors of 39197. The greatest factor of 39197 is 39197.

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 39197 and 39202?

Answer:

Least Common Multiple of 39197 and 39202 = 1536600794

Step 1: Find the prime factorization of 39197

39197 = 19 x 2063

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 = 1536600794 = 2 x 17 x 19 x 1153 x 2063

Step 4: Therefore, the least common multiple of 39197 and 39202 is 1536600794.