Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 914 and 915 the smallest integer that is 836310 that is divisible by both numbers.
Least Common Multiple (LCM) of 914 and 915 is 836310.
LCM(914,915) = 836310
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 914 and 915. First we will calculate the prime factors of 914 and 915.
Prime Factorization of 914
2 | 914 |
457 | 457 |
1 |
Prime factors of 914 are 2,457. Prime factorization of 914 in exponential form is:
914 = 21×4571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 914 and 915.
LCM(914,915) = 21×31×51×611×4571
LCM(914,915) = 836310
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1, 3, 5, 15, 61, 183, 305, 915
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 914 and 915, than apply into the LCM equation.
GCF(914,915) = 1
LCM(914,915) = ( 914 × 915) / 1
LCM(914,915) = 836310 / 1
LCM(914,915) = 836310
(i) The LCM of 915 and 914 is associative
LCM of 914 and 915 = LCM of 915 and 914
1. What is the LCM of 914 and 915?
Answer: LCM of 914 and 915 is 836310.
2. What are the Factors of 914?
Answer: Factors of 914 are 1, 2, 457, 914. There are 4 integers that are factors of 914. The greatest factor of 914 is 914.
3. 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.
4. How to Find the LCM of 914 and 915?
Answer:
Least Common Multiple of 914 and 915 = 836310
Step 1: Find the prime factorization of 914
914 = 2 x 457
Step 2: Find the prime factorization of 915
915 = 3 x 5 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 836310 = 2 x 3 x 5 x 61 x 457
Step 4: Therefore, the least common multiple of 914 and 915 is 836310.