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 917 the smallest integer that is 838138 that is divisible by both numbers.
Least Common Multiple (LCM) of 914 and 917 is 838138.
LCM(914,917) = 838138
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 917. First we will calculate the prime factors of 914 and 917.
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 917
7 | 917 |
131 | 131 |
1 |
Prime factors of 917 are 7,131. Prime factorization of 917 in exponential form is:
917 = 71×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 914 and 917.
LCM(914,917) = 21×71×1311×4571
LCM(914,917) = 838138
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1, 7, 131, 917
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 914 and 917, than apply into the LCM equation.
GCF(914,917) = 1
LCM(914,917) = ( 914 × 917) / 1
LCM(914,917) = 838138 / 1
LCM(914,917) = 838138
(i) The LCM of 917 and 914 is associative
LCM of 914 and 917 = LCM of 917 and 914
1. What is the LCM of 914 and 917?
Answer: LCM of 914 and 917 is 838138.
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 917?
Answer: Factors of 917 are 1, 7, 131, 917. There are 4 integers that are factors of 917. The greatest factor of 917 is 917.
4. How to Find the LCM of 914 and 917?
Answer:
Least Common Multiple of 914 and 917 = 838138
Step 1: Find the prime factorization of 914
914 = 2 x 457
Step 2: Find the prime factorization of 917
917 = 7 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 838138 = 2 x 7 x 131 x 457
Step 4: Therefore, the least common multiple of 914 and 917 is 838138.