Least Common Multiple of 39190 and 39198

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

• Least Common Multiple of 39190 and 39198 by Prime method
• Least Common Multiple of 39190 and 39198 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 39190 and 39198. First we will calculate the prime factors of 39190 and 39198.

Prime Factorization of 39190

Prime factors of 39190 are 2, 5,3919. Prime factorization of 39190 in exponential form is:

39190 = 2¹×5¹×3919¹

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

Now multiplying the highest exponent prime factors to calculate the LCM of 39190 and 39198.

LCM(39190,39198) = 2¹×3¹×5¹×47¹×139¹×3919¹
LCM(39190,39198) = 768084810

Factors of 39190

List of positive integer factors of 39190 that divides 39190 without a remainder.

1, 2, 5, 10, 3919, 7838, 19595, 39190

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39190 and 39198, than apply into the LCM equation.

GCF(39190,39198) = 2
LCM(39190,39198) = ( 39190 × 39198) / 2
LCM(39190,39198) = 1536169620 / 2
LCM(39190,39198) = 768084810

(i) The LCM of 39198 and 39190 is associative

LCM of 39190 and 39198 = LCM of 39198 and 39190

1. What is the LCM of 39190 and 39198?

Answer: LCM of 39190 and 39198 is 768084810.

2. What are the Factors of 39190?

Answer: Factors of 39190 are 1, 2, 5, 10, 3919, 7838, 19595, 39190. There are 8 integers that are factors of 39190. The greatest factor of 39190 is 39190.

3. 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.

4. How to Find the LCM of 39190 and 39198?

Answer:

Least Common Multiple of 39190 and 39198 = 768084810

Step 1: Find the prime factorization of 39190

39190 = 2 x 5 x 3919

Step 2: Find the prime factorization of 39198

39198 = 2 x 3 x 47 x 139

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

LCM = 768084810 = 2 x 3 x 5 x 47 x 139 x 3919

Step 4: Therefore, the least common multiple of 39190 and 39198 is 768084810.