Least Common Multiple of 31310 and 31316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31310 and 31316 the smallest integer that is 490251980 that is divisible by both numbers.

Least Common Multiple (LCM) of 31310 and 31316 is 490251980.

LCM(31310,31316) = 490251980

LCM of 31310 and 31316

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

LCM of:
and

Least Common Multiple of 31310 and 31316

LCM of 31310 and 31316 is 490251980

Least common multiple can be found by multiplying the highest exponent prime factors of 31310 and 31316. First we will calculate the prime factors of 31310 and 31316.

Prime Factorization of 31310


2 31310
5 15655
31 3131
101 101
1

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 31316


2 31316
2 15658
7829 7829
1

Prime factors of 31316 are 2,7829. Prime factorization of 31316 in exponential form is:

31316 = 22×78291

Now multiplying the highest exponent prime factors to calculate the LCM of 31310 and 31316.

LCM(31310,31316) = 22×51×311×1011×78291
LCM(31310,31316) = 490251980

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 31316

List of positive integer factors of 31316 that divides 31316 without a remainder.

1, 2, 4, 7829, 15658, 31316

Least Common Multiple of 31310 and 31316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31310 and 31316, than apply into the LCM equation.

GCF(31310,31316) = 2
LCM(31310,31316) = ( 31310 × 31316) / 2
LCM(31310,31316) = 980503960 / 2
LCM(31310,31316) = 490251980

Properties of LCM 31310 and 31316

(i) The LCM of 31316 and 31310 is associative

LCM of 31310 and 31316 = LCM of 31316 and 31310

Related Least Common Multiples of 31310

Related Least Common Multiples of 31316

Frequently Asked Questions on LCM of 31310 and 31316

1. What is the LCM of 31310 and 31316?

Answer: LCM of 31310 and 31316 is 490251980.

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 31316?

Answer: Factors of 31316 are 1, 2, 4, 7829, 15658, 31316. There are 6 integers that are factors of 31316. The greatest factor of 31316 is 31316.

4. How to Find the LCM of 31310 and 31316?

Answer:

Least Common Multiple of 31310 and 31316 = 490251980

Step 1: Find the prime factorization of 31310

31310 = 2 x 5 x 31 x 101

Step 2: Find the prime factorization of 31316

31316 = 2 x 2 x 7829

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

LCM = 490251980 = 2 x 2 x 5 x 31 x 101 x 7829

Step 4: Therefore, the least common multiple of 31310 and 31316 is 490251980.