Least Common Multiple of 31310 and 31315

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

• Least Common Multiple of 31310 and 31315 by Prime method
• Least Common Multiple of 31310 and 31315 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 31310 and 31315. First we will calculate the prime factors of 31310 and 31315.

Prime Factorization of 31310

Prime factors of 31310 are 2, 5, 31,101. Prime factorization of 31310 in exponential form is:

31310 = 2¹×5¹×31¹×101¹

Prime Factorization of 31315

Prime factors of 31315 are 5,6263. Prime factorization of 31315 in exponential form is:

31315 = 5¹×6263¹

Now multiplying the highest exponent prime factors to calculate the LCM of 31310 and 31315.

LCM(31310,31315) = 2¹×5¹×31¹×101¹×6263¹
LCM(31310,31315) = 196094530

Factors of 31310

List of positive integer factors of 31310 that divides 31310 without a remainder.

1, 2, 5, 10, 31, 62, 101, 155, 202, 310, 505, 1010, 3131, 6262, 15655, 31310

Factors of 31315

List of positive integer factors of 31315 that divides 31315 without a remainder.

1, 5, 6263, 31315

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31310 and 31315, than apply into the LCM equation.

GCF(31310,31315) = 5
LCM(31310,31315) = ( 31310 × 31315) / 5
LCM(31310,31315) = 980472650 / 5
LCM(31310,31315) = 196094530

(i) The LCM of 31315 and 31310 is associative

LCM of 31310 and 31315 = LCM of 31315 and 31310

1. What is the LCM of 31310 and 31315?

Answer: LCM of 31310 and 31315 is 196094530.

2. What are the Factors of 31310?

Answer: Factors of 31310 are 1, 2, 5, 10, 31, 62, 101, 155, 202, 310, 505, 1010, 3131, 6262, 15655, 31310. There are 16 integers that are factors of 31310. The greatest factor of 31310 is 31310.

3. What are the Factors of 31315?

Answer: Factors of 31315 are 1, 5, 6263, 31315. There are 4 integers that are factors of 31315. The greatest factor of 31315 is 31315.

4. How to Find the LCM of 31310 and 31315?

Answer:

Least Common Multiple of 31310 and 31315 = 196094530

Step 1: Find the prime factorization of 31310

31310 = 2 x 5 x 31 x 101

Step 2: Find the prime factorization of 31315

31315 = 5 x 6263

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

LCM = 196094530 = 2 x 5 x 31 x 101 x 6263

Step 4: Therefore, the least common multiple of 31310 and 31315 is 196094530.