Least Common Multiple of 8931 and 8935
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8931 and 8935 the smallest integer that is 79798485 that is divisible by both numbers.
Least Common Multiple (LCM) of 8931 and 8935 is 79798485.
LCM(8931,8935) = 79798485
LCM of 8931 and 8935
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8931 and 8935 by Prime method
- Least Common Multiple of 8931 and 8935 with GCF Formula
LCM of 8931 and 8935 is 79798485
Least common multiple can be found by multiplying the highest exponent prime factors of 8931 and 8935. First we will calculate the prime factors of 8931 and 8935.
Prime Factorization of 8931
| 3 | 8931 |
| 13 | 2977 |
| 229 | 229 |
| 1 |
Prime factors of 8931 are 3, 13,229. Prime factorization of 8931 in exponential form is:
8931 = 31×131×2291
Prime Factorization of 8935
| 5 | 8935 |
| 1787 | 1787 |
| 1 |
Prime factors of 8935 are 5,1787. Prime factorization of 8935 in exponential form is:
8935 = 51×17871
Now multiplying the highest exponent prime factors to calculate the LCM of 8931 and 8935.
LCM(8931,8935) = 31×51×131×2291×17871
LCM(8931,8935) = 79798485
Factors of 8931
List of positive integer factors of 8931 that divides 8931 without a remainder.
1, 3, 13, 39, 229, 687, 2977, 8931
Factors of 8935
List of positive integer factors of 8935 that divides 8935 without a remainder.
1, 5, 1787, 8935
Least Common Multiple of 8931 and 8935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8931 and 8935, than apply into the LCM equation.
GCF(8931,8935) = 1
LCM(8931,8935) = ( 8931 × 8935) / 1
LCM(8931,8935) = 79798485 / 1
LCM(8931,8935) = 79798485
Properties of LCM 8931 and 8935
(i) The LCM of 8935 and 8931 is associative
LCM of 8931 and 8935 = LCM of 8935 and 8931
Related Least Common Multiples of 8931
Related Least Common Multiples of 8935
Frequently Asked Questions on LCM of 8931 and 8935
1. What is the LCM of 8931 and 8935?
Answer: LCM of 8931 and 8935 is 79798485.
2. What are the Factors of 8931?
Answer: Factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931. There are 8 integers that are factors of 8931. The greatest factor of 8931 is 8931.
3. What are the Factors of 8935?
Answer: Factors of 8935 are 1, 5, 1787, 8935. There are 4 integers that are factors of 8935. The greatest factor of 8935 is 8935.
4. How to Find the LCM of 8931 and 8935?
Answer:
Least Common Multiple of 8931 and 8935 = 79798485
Step 1: Find the prime factorization of 8931
8931 = 3 x 13 x 229
Step 2: Find the prime factorization of 8935
8935 = 5 x 1787
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 79798485 = 3 x 5 x 13 x 229 x 1787
Step 4: Therefore, the least common multiple of 8931 and 8935 is 79798485.