Least Common Multiple of 39198 and 39205

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

• Least Common Multiple of 39198 and 39205 by Prime method
• Least Common Multiple of 39198 and 39205 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39198 and 39205. First we will calculate the prime factors of 39198 and 39205.

Prime Factorization of 39198

Prime factors of 39198 are 2, 3, 47,139. Prime factorization of 39198 in exponential form is:

39198 = 2¹×3¹×47¹×139¹

Prime Factorization of 39205

Prime factors of 39205 are 5,7841. Prime factorization of 39205 in exponential form is:

39205 = 5¹×7841¹

Now multiplying the highest exponent prime factors to calculate the LCM of 39198 and 39205.

LCM(39198,39205) = 2¹×3¹×5¹×47¹×139¹×7841¹
LCM(39198,39205) = 1536757590

Factors of 39198

List of positive integer factors of 39198 that divides 39198 without a remainder.

1, 2, 3, 6, 47, 94, 139, 141, 278, 282, 417, 834, 6533, 13066, 19599, 39198

Factors of 39205

List of positive integer factors of 39205 that divides 39205 without a remainder.

1, 5, 7841, 39205

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39198 and 39205, than apply into the LCM equation.

GCF(39198,39205) = 1
LCM(39198,39205) = ( 39198 × 39205) / 1
LCM(39198,39205) = 1536757590 / 1
LCM(39198,39205) = 1536757590

(i) The LCM of 39205 and 39198 is associative

LCM of 39198 and 39205 = LCM of 39205 and 39198

1. What is the LCM of 39198 and 39205?

Answer: LCM of 39198 and 39205 is 1536757590.

2. What are the Factors of 39198?

Answer: Factors of 39198 are 1, 2, 3, 6, 47, 94, 139, 141, 278, 282, 417, 834, 6533, 13066, 19599, 39198. There are 16 integers that are factors of 39198. The greatest factor of 39198 is 39198.

3. What are the Factors of 39205?

Answer: Factors of 39205 are 1, 5, 7841, 39205. There are 4 integers that are factors of 39205. The greatest factor of 39205 is 39205.

4. How to Find the LCM of 39198 and 39205?

Answer:

Least Common Multiple of 39198 and 39205 = 1536757590

Step 1: Find the prime factorization of 39198

39198 = 2 x 3 x 47 x 139

Step 2: Find the prime factorization of 39205

39205 = 5 x 7841

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

LCM = 1536757590 = 2 x 3 x 5 x 47 x 139 x 7841

Step 4: Therefore, the least common multiple of 39198 and 39205 is 1536757590.