Least Common Multiple of 9207 and 9211
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9207 and 9211 the smallest integer that is 84805677 that is divisible by both numbers.
Least Common Multiple (LCM) of 9207 and 9211 is 84805677.
LCM(9207,9211) = 84805677
LCM of 9207 and 9211
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9207 and 9211 by Prime method
- Least Common Multiple of 9207 and 9211 with GCF Formula
LCM of 9207 and 9211 is 84805677
Least common multiple can be found by multiplying the highest exponent prime factors of 9207 and 9211. First we will calculate the prime factors of 9207 and 9211.
Prime Factorization of 9207
| 3 | 9207 |
| 3 | 3069 |
| 3 | 1023 |
| 11 | 341 |
| 31 | 31 |
| 1 |
Prime factors of 9207 are 3, 11,31. Prime factorization of 9207 in exponential form is:
9207 = 33×111×311
Prime Factorization of 9211
| 61 | 9211 |
| 151 | 151 |
| 1 |
Prime factors of 9211 are 61,151. Prime factorization of 9211 in exponential form is:
9211 = 611×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 9207 and 9211.
LCM(9207,9211) = 33×111×311×611×1511
LCM(9207,9211) = 84805677
Factors of 9207
List of positive integer factors of 9207 that divides 9207 without a remainder.
1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207
Factors of 9211
List of positive integer factors of 9211 that divides 9211 without a remainder.
1, 61, 151, 9211
Least Common Multiple of 9207 and 9211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9207 and 9211, than apply into the LCM equation.
GCF(9207,9211) = 1
LCM(9207,9211) = ( 9207 × 9211) / 1
LCM(9207,9211) = 84805677 / 1
LCM(9207,9211) = 84805677
Properties of LCM 9207 and 9211
(i) The LCM of 9211 and 9207 is associative
LCM of 9207 and 9211 = LCM of 9211 and 9207
Related Least Common Multiples of 9207
Related Least Common Multiples of 9211
Frequently Asked Questions on LCM of 9207 and 9211
1. What is the LCM of 9207 and 9211?
Answer: LCM of 9207 and 9211 is 84805677.
2. What are the Factors of 9207?
Answer: Factors of 9207 are 1, 3, 9, 11, 27, 31, 33, 93, 99, 279, 297, 341, 837, 1023, 3069, 9207. There are 16 integers that are factors of 9207. The greatest factor of 9207 is 9207.
3. What are the Factors of 9211?
Answer: Factors of 9211 are 1, 61, 151, 9211. There are 4 integers that are factors of 9211. The greatest factor of 9211 is 9211.
4. How to Find the LCM of 9207 and 9211?
Answer:
Least Common Multiple of 9207 and 9211 = 84805677
Step 1: Find the prime factorization of 9207
9207 = 3 x 3 x 3 x 11 x 31
Step 2: Find the prime factorization of 9211
9211 = 61 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84805677 = 3 x 3 x 3 x 11 x 31 x 61 x 151
Step 4: Therefore, the least common multiple of 9207 and 9211 is 84805677.