Least Common Multiple of 31485 and 31490

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

• Least Common Multiple of 31485 and 31490 by Prime method
• Least Common Multiple of 31485 and 31490 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 31485 and 31490. First we will calculate the prime factors of 31485 and 31490.

Prime Factorization of 31485

Prime factors of 31485 are 3, 5,2099. Prime factorization of 31485 in exponential form is:

31485 = 3¹×5¹×2099¹

Prime Factorization of 31490

Prime factors of 31490 are 2, 5, 47,67. Prime factorization of 31490 in exponential form is:

31490 = 2¹×5¹×47¹×67¹

Now multiplying the highest exponent prime factors to calculate the LCM of 31485 and 31490.

LCM(31485,31490) = 2¹×3¹×5¹×47¹×67¹×2099¹
LCM(31485,31490) = 198292530

Factors of 31485

List of positive integer factors of 31485 that divides 31485 without a remainder.

1, 3, 5, 15, 2099, 6297, 10495, 31485

Factors of 31490

List of positive integer factors of 31490 that divides 31490 without a remainder.

1, 2, 5, 10, 47, 67, 94, 134, 235, 335, 470, 670, 3149, 6298, 15745, 31490

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31485 and 31490, than apply into the LCM equation.

GCF(31485,31490) = 5
LCM(31485,31490) = ( 31485 × 31490) / 5
LCM(31485,31490) = 991462650 / 5
LCM(31485,31490) = 198292530

(i) The LCM of 31490 and 31485 is associative

LCM of 31485 and 31490 = LCM of 31490 and 31485

1. What is the LCM of 31485 and 31490?

Answer: LCM of 31485 and 31490 is 198292530.

2. What are the Factors of 31485?

Answer: Factors of 31485 are 1, 3, 5, 15, 2099, 6297, 10495, 31485. There are 8 integers that are factors of 31485. The greatest factor of 31485 is 31485.

3. What are the Factors of 31490?

Answer: Factors of 31490 are 1, 2, 5, 10, 47, 67, 94, 134, 235, 335, 470, 670, 3149, 6298, 15745, 31490. There are 16 integers that are factors of 31490. The greatest factor of 31490 is 31490.

4. How to Find the LCM of 31485 and 31490?

Answer:

Least Common Multiple of 31485 and 31490 = 198292530

Step 1: Find the prime factorization of 31485

31485 = 3 x 5 x 2099

Step 2: Find the prime factorization of 31490

31490 = 2 x 5 x 47 x 67

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

LCM = 198292530 = 2 x 3 x 5 x 47 x 67 x 2099

Step 4: Therefore, the least common multiple of 31485 and 31490 is 198292530.