Least Common Multiple of 31312 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 31312 and 31316 the smallest integer that is 245141648 that is divisible by both numbers.

Least Common Multiple (LCM) of 31312 and 31316 is 245141648.

LCM(31312,31316) = 245141648

LCM of 31312 and 31316

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

LCM of:
and

Least Common Multiple of 31312 and 31316

LCM of 31312 and 31316 is 245141648

Least common multiple can be found by multiplying the highest exponent prime factors of 31312 and 31316. First we will calculate the prime factors of 31312 and 31316.

Prime Factorization of 31312


2 31312
2 15656
2 7828
2 3914
19 1957
103 103
1

Prime factors of 31312 are 2, 19,103. Prime factorization of 31312 in exponential form is:

31312 = 24×191×1031

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 31312 and 31316.

LCM(31312,31316) = 24×191×1031×78291
LCM(31312,31316) = 245141648

Factors of 31312

List of positive integer factors of 31312 that divides 31312 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 103, 152, 206, 304, 412, 824, 1648, 1957, 3914, 7828, 15656, 31312

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 31312 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 31312 and 31316, than apply into the LCM equation.

GCF(31312,31316) = 4
LCM(31312,31316) = ( 31312 × 31316) / 4
LCM(31312,31316) = 980566592 / 4
LCM(31312,31316) = 245141648

Properties of LCM 31312 and 31316

(i) The LCM of 31316 and 31312 is associative

LCM of 31312 and 31316 = LCM of 31316 and 31312

Related Least Common Multiples of 31312

Related Least Common Multiples of 31316

Frequently Asked Questions on LCM of 31312 and 31316

1. What is the LCM of 31312 and 31316?

Answer: LCM of 31312 and 31316 is 245141648.

2. What are the Factors of 31312?

Answer: Factors of 31312 are 1, 2, 4, 8, 16, 19, 38, 76, 103, 152, 206, 304, 412, 824, 1648, 1957, 3914, 7828, 15656, 31312. There are 20 integers that are factors of 31312. The greatest factor of 31312 is 31312.

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 31312 and 31316?

Answer:

Least Common Multiple of 31312 and 31316 = 245141648

Step 1: Find the prime factorization of 31312

31312 = 2 x 2 x 2 x 2 x 19 x 103

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 = 245141648 = 2 x 2 x 2 x 2 x 19 x 103 x 7829

Step 4: Therefore, the least common multiple of 31312 and 31316 is 245141648.