Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31316 and 31322 the smallest integer that is 490439876 that is divisible by both numbers.
Least Common Multiple (LCM) of 31316 and 31322 is 490439876.
LCM(31316,31322) = 490439876
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 31316 and 31322. First we will calculate the prime factors of 31316 and 31322.
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
Prime Factorization of 31322
2 | 31322 |
15661 | 15661 |
1 |
Prime factors of 31322 are 2,15661. Prime factorization of 31322 in exponential form is:
31322 = 21×156611
Now multiplying the highest exponent prime factors to calculate the LCM of 31316 and 31322.
LCM(31316,31322) = 22×78291×156611
LCM(31316,31322) = 490439876
Factors of 31316
List of positive integer factors of 31316 that divides 31316 without a remainder.
1, 2, 4, 7829, 15658, 31316
Factors of 31322
List of positive integer factors of 31322 that divides 31322 without a remainder.
1, 2, 15661, 31322
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31316 and 31322, than apply into the LCM equation.
GCF(31316,31322) = 2
LCM(31316,31322) = ( 31316 × 31322) / 2
LCM(31316,31322) = 980879752 / 2
LCM(31316,31322) = 490439876
(i) The LCM of 31322 and 31316 is associative
LCM of 31316 and 31322 = LCM of 31322 and 31316
1. What is the LCM of 31316 and 31322?
Answer: LCM of 31316 and 31322 is 490439876.
2. 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.
3. What are the Factors of 31322?
Answer: Factors of 31322 are 1, 2, 15661, 31322. There are 4 integers that are factors of 31322. The greatest factor of 31322 is 31322.
4. How to Find the LCM of 31316 and 31322?
Answer:
Least Common Multiple of 31316 and 31322 = 490439876
Step 1: Find the prime factorization of 31316
31316 = 2 x 2 x 7829
Step 2: Find the prime factorization of 31322
31322 = 2 x 15661
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 490439876 = 2 x 2 x 7829 x 15661
Step 4: Therefore, the least common multiple of 31316 and 31322 is 490439876.