Least Common Multiple of 9202 and 9207
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9202 and 9207 the smallest integer that is 84722814 that is divisible by both numbers.
Least Common Multiple (LCM) of 9202 and 9207 is 84722814.
LCM(9202,9207) = 84722814
LCM of 9202 and 9207
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9202 and 9207 by Prime method
- Least Common Multiple of 9202 and 9207 with GCF Formula
LCM of 9202 and 9207 is 84722814
Least common multiple can be found by multiplying the highest exponent prime factors of 9202 and 9207. First we will calculate the prime factors of 9202 and 9207.
Prime Factorization of 9202
| 2 | 9202 |
| 43 | 4601 |
| 107 | 107 |
| 1 |
Prime factors of 9202 are 2, 43,107. Prime factorization of 9202 in exponential form is:
9202 = 21×431×1071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 9202 and 9207.
LCM(9202,9207) = 21×33×111×311×431×1071
LCM(9202,9207) = 84722814
Factors of 9202
List of positive integer factors of 9202 that divides 9202 without a remainder.
1, 2, 43, 86, 107, 214, 4601, 9202
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
Least Common Multiple of 9202 and 9207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9202 and 9207, than apply into the LCM equation.
GCF(9202,9207) = 1
LCM(9202,9207) = ( 9202 × 9207) / 1
LCM(9202,9207) = 84722814 / 1
LCM(9202,9207) = 84722814
Properties of LCM 9202 and 9207
(i) The LCM of 9207 and 9202 is associative
LCM of 9202 and 9207 = LCM of 9207 and 9202
Related Least Common Multiples of 9202
Related Least Common Multiples of 9207
Frequently Asked Questions on LCM of 9202 and 9207
1. What is the LCM of 9202 and 9207?
Answer: LCM of 9202 and 9207 is 84722814.
2. What are the Factors of 9202?
Answer: Factors of 9202 are 1, 2, 43, 86, 107, 214, 4601, 9202. There are 8 integers that are factors of 9202. The greatest factor of 9202 is 9202.
3. 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.
4. How to Find the LCM of 9202 and 9207?
Answer:
Least Common Multiple of 9202 and 9207 = 84722814
Step 1: Find the prime factorization of 9202
9202 = 2 x 43 x 107
Step 2: Find the prime factorization of 9207
9207 = 3 x 3 x 3 x 11 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 84722814 = 2 x 3 x 3 x 3 x 11 x 31 x 43 x 107
Step 4: Therefore, the least common multiple of 9202 and 9207 is 84722814.