Least Common Multiple of 915 and 922
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 915 and 922 the smallest integer that is 843630 that is divisible by both numbers.
Least Common Multiple (LCM) of 915 and 922 is 843630.
LCM(915,922) = 843630
LCM of 915 and 922
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 915 and 922 by Prime method
- Least Common Multiple of 915 and 922 with GCF Formula
LCM of 915 and 922 is 843630
Least common multiple can be found by multiplying the highest exponent prime factors of 915 and 922. First we will calculate the prime factors of 915 and 922.
Prime Factorization of 915
| 3 | 915 |
| 5 | 305 |
| 61 | 61 |
| 1 |
Prime factors of 915 are 3, 5,61. Prime factorization of 915 in exponential form is:
915 = 31×51×611
Prime Factorization of 922
| 2 | 922 |
| 461 | 461 |
| 1 |
Prime factors of 922 are 2,461. Prime factorization of 922 in exponential form is:
922 = 21×4611
Now multiplying the highest exponent prime factors to calculate the LCM of 915 and 922.
LCM(915,922) = 21×31×51×611×4611
LCM(915,922) = 843630
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Least Common Multiple of 915 and 922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 915 and 922, than apply into the LCM equation.
GCF(915,922) = 1
LCM(915,922) = ( 915 × 922) / 1
LCM(915,922) = 843630 / 1
LCM(915,922) = 843630
Properties of LCM 915 and 922
(i) The LCM of 922 and 915 is associative
LCM of 915 and 922 = LCM of 922 and 915
Related Least Common Multiples of 915
Related Least Common Multiples of 922
Frequently Asked Questions on LCM of 915 and 922
1. What is the LCM of 915 and 922?
Answer: LCM of 915 and 922 is 843630.
2. What are the Factors of 915?
Answer: Factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915. There are 8 integers that are factors of 915. The greatest factor of 915 is 915.
3. What are the Factors of 922?
Answer: Factors of 922 are 1, 2, 461, 922. There are 4 integers that are factors of 922. The greatest factor of 922 is 922.
4. How to Find the LCM of 915 and 922?
Answer:
Least Common Multiple of 915 and 922 = 843630
Step 1: Find the prime factorization of 915
915 = 3 x 5 x 61
Step 2: Find the prime factorization of 922
922 = 2 x 461
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 843630 = 2 x 3 x 5 x 61 x 461
Step 4: Therefore, the least common multiple of 915 and 922 is 843630.
