Least Common Multiple of 7227 and 7234
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7227 and 7234 the smallest integer that is 52280118 that is divisible by both numbers.
Least Common Multiple (LCM) of 7227 and 7234 is 52280118.
LCM(7227,7234) = 52280118
LCM of 7227 and 7234
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7227 and 7234 by Prime method
- Least Common Multiple of 7227 and 7234 with GCF Formula
LCM of 7227 and 7234 is 52280118
Least common multiple can be found by multiplying the highest exponent prime factors of 7227 and 7234. First we will calculate the prime factors of 7227 and 7234.
Prime Factorization of 7227
| 3 | 7227 |
| 3 | 2409 |
| 11 | 803 |
| 73 | 73 |
| 1 |
Prime factors of 7227 are 3, 11,73. Prime factorization of 7227 in exponential form is:
7227 = 32×111×731
Prime Factorization of 7234
| 2 | 7234 |
| 3617 | 3617 |
| 1 |
Prime factors of 7234 are 2,3617. Prime factorization of 7234 in exponential form is:
7234 = 21×36171
Now multiplying the highest exponent prime factors to calculate the LCM of 7227 and 7234.
LCM(7227,7234) = 21×32×111×731×36171
LCM(7227,7234) = 52280118
Factors of 7227
List of positive integer factors of 7227 that divides 7227 without a remainder.
1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227
Factors of 7234
List of positive integer factors of 7234 that divides 7234 without a remainder.
1, 2, 3617, 7234
Least Common Multiple of 7227 and 7234 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7227 and 7234, than apply into the LCM equation.
GCF(7227,7234) = 1
LCM(7227,7234) = ( 7227 × 7234) / 1
LCM(7227,7234) = 52280118 / 1
LCM(7227,7234) = 52280118
Properties of LCM 7227 and 7234
(i) The LCM of 7234 and 7227 is associative
LCM of 7227 and 7234 = LCM of 7234 and 7227
Related Least Common Multiples of 7227
Related Least Common Multiples of 7234
Frequently Asked Questions on LCM of 7227 and 7234
1. What is the LCM of 7227 and 7234?
Answer: LCM of 7227 and 7234 is 52280118.
2. What are the Factors of 7227?
Answer: Factors of 7227 are 1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227. There are 12 integers that are factors of 7227. The greatest factor of 7227 is 7227.
3. What are the Factors of 7234?
Answer: Factors of 7234 are 1, 2, 3617, 7234. There are 4 integers that are factors of 7234. The greatest factor of 7234 is 7234.
4. How to Find the LCM of 7227 and 7234?
Answer:
Least Common Multiple of 7227 and 7234 = 52280118
Step 1: Find the prime factorization of 7227
7227 = 3 x 3 x 11 x 73
Step 2: Find the prime factorization of 7234
7234 = 2 x 3617
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 52280118 = 2 x 3 x 3 x 11 x 73 x 3617
Step 4: Therefore, the least common multiple of 7227 and 7234 is 52280118.