Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 31307 and 31315 the smallest integer that is 980378705 that is divisible by both numbers.
Least Common Multiple (LCM) of 31307 and 31315 is 980378705.
LCM(31307,31315) = 980378705
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 31307 and 31315. First we will calculate the prime factors of 31307 and 31315.
Prime Factorization of 31307
31307 | 31307 |
1 |
Prime factors of 31307 are 31307. Prime factorization of 31307 in exponential form is:
31307 = 313071
Prime Factorization of 31315
5 | 31315 |
6263 | 6263 |
1 |
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 31307 and 31315.
LCM(31307,31315) = 51×62631×313071
LCM(31307,31315) = 980378705
Factors of 31307
List of positive integer factors of 31307 that divides 31307 without a remainder.
1, 31307
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 31307 and 31315, than apply into the LCM equation.
GCF(31307,31315) = 1
LCM(31307,31315) = ( 31307 × 31315) / 1
LCM(31307,31315) = 980378705 / 1
LCM(31307,31315) = 980378705
(i) The LCM of 31315 and 31307 is associative
LCM of 31307 and 31315 = LCM of 31315 and 31307
1. What is the LCM of 31307 and 31315?
Answer: LCM of 31307 and 31315 is 980378705.
2. What are the Factors of 31307?
Answer: Factors of 31307 are 1, 31307. There are 2 integers that are factors of 31307. The greatest factor of 31307 is 31307.
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 31307 and 31315?
Answer:
Least Common Multiple of 31307 and 31315 = 980378705
Step 1: Find the prime factorization of 31307
31307 = 31307
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 = 980378705 = 5 x 6263 x 31307
Step 4: Therefore, the least common multiple of 31307 and 31315 is 980378705.