Least Common Multiple of 917 and 921
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 917 and 921 the smallest integer that is 844557 that is divisible by both numbers.
Least Common Multiple (LCM) of 917 and 921 is 844557.
LCM(917,921) = 844557
LCM of 917 and 921
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 917 and 921 by Prime method
- Least Common Multiple of 917 and 921 with GCF Formula
LCM of 917 and 921 is 844557
Least common multiple can be found by multiplying the highest exponent prime factors of 917 and 921. First we will calculate the prime factors of 917 and 921.
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
Prime Factorization of 921
| 3 | 921 |
| 307 | 307 |
| 1 |
Prime factors of 921 are 3,307. Prime factorization of 921 in exponential form is:
921 = 31×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 917 and 921.
LCM(917,921) = 31×71×1311×3071
LCM(917,921) = 844557
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1, 7, 131, 917
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Least Common Multiple of 917 and 921 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 917 and 921, than apply into the LCM equation.
GCF(917,921) = 1
LCM(917,921) = ( 917 × 921) / 1
LCM(917,921) = 844557 / 1
LCM(917,921) = 844557
Properties of LCM 917 and 921
(i) The LCM of 921 and 917 is associative
LCM of 917 and 921 = LCM of 921 and 917
Related Least Common Multiples of 917
Related Least Common Multiples of 921
Frequently Asked Questions on LCM of 917 and 921
1. What is the LCM of 917 and 921?
Answer: LCM of 917 and 921 is 844557.
2. 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.
3. What are the Factors of 921?
Answer: Factors of 921 are 1, 3, 307, 921. There are 4 integers that are factors of 921. The greatest factor of 921 is 921.
4. How to Find the LCM of 917 and 921?
Answer:
Least Common Multiple of 917 and 921 = 844557
Step 1: Find the prime factorization of 917
917 = 7 x 131
Step 2: Find the prime factorization of 921
921 = 3 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 844557 = 3 x 7 x 131 x 307
Step 4: Therefore, the least common multiple of 917 and 921 is 844557.
