Least Common Multiple of 31306 and 31310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 31306 and 31310 the smallest integer that is 490095430 that is divisible by both numbers.

Least Common Multiple (LCM) of 31306 and 31310 is 490095430.

LCM(31306,31310) = 490095430

LCM of 31306 and 31310

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

LCM of:
and

Least Common Multiple of 31306 and 31310

LCM of 31306 and 31310 is 490095430

Least common multiple can be found by multiplying the highest exponent prime factors of 31306 and 31310. First we will calculate the prime factors of 31306 and 31310.

Prime Factorization of 31306


2 31306
11 15653
1423 1423
1

Prime factors of 31306 are 2, 11,1423. Prime factorization of 31306 in exponential form is:

31306 = 21×111×14231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 31306 and 31310.

LCM(31306,31310) = 21×51×111×311×1011×14231
LCM(31306,31310) = 490095430

Factors of 31306

List of positive integer factors of 31306 that divides 31306 without a remainder.

1, 2, 11, 22, 1423, 2846, 15653, 31306

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

Least Common Multiple of 31306 and 31310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31306 and 31310, than apply into the LCM equation.

GCF(31306,31310) = 2
LCM(31306,31310) = ( 31306 × 31310) / 2
LCM(31306,31310) = 980190860 / 2
LCM(31306,31310) = 490095430

Properties of LCM 31306 and 31310

(i) The LCM of 31310 and 31306 is associative

LCM of 31306 and 31310 = LCM of 31310 and 31306

Related Least Common Multiples of 31306

Related Least Common Multiples of 31310

Frequently Asked Questions on LCM of 31306 and 31310

1. What is the LCM of 31306 and 31310?

Answer: LCM of 31306 and 31310 is 490095430.

2. What are the Factors of 31306?

Answer: Factors of 31306 are 1, 2, 11, 22, 1423, 2846, 15653, 31306. There are 8 integers that are factors of 31306. The greatest factor of 31306 is 31306.

3. 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.

4. How to Find the LCM of 31306 and 31310?

Answer:

Least Common Multiple of 31306 and 31310 = 490095430

Step 1: Find the prime factorization of 31306

31306 = 2 x 11 x 1423

Step 2: Find the prime factorization of 31310

31310 = 2 x 5 x 31 x 101

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

LCM = 490095430 = 2 x 5 x 11 x 31 x 101 x 1423

Step 4: Therefore, the least common multiple of 31306 and 31310 is 490095430.