Least Common Multiple of 2247 and 2254
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2247 and 2254 the smallest integer that is 723534 that is divisible by both numbers.
Least Common Multiple (LCM) of 2247 and 2254 is 723534.
LCM(2247,2254) = 723534
LCM of 2247 and 2254
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2247 and 2254 by Prime method
- Least Common Multiple of 2247 and 2254 with GCF Formula
LCM of 2247 and 2254 is 723534
Least common multiple can be found by multiplying the highest exponent prime factors of 2247 and 2254. First we will calculate the prime factors of 2247 and 2254.
Prime Factorization of 2247
| 3 | 2247 |
| 7 | 749 |
| 107 | 107 |
| 1 |
Prime factors of 2247 are 3, 7,107. Prime factorization of 2247 in exponential form is:
2247 = 31×71×1071
Prime Factorization of 2254
| 2 | 2254 |
| 7 | 1127 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 2254 are 2, 7,23. Prime factorization of 2254 in exponential form is:
2254 = 21×72×231
Now multiplying the highest exponent prime factors to calculate the LCM of 2247 and 2254.
LCM(2247,2254) = 21×31×72×231×1071
LCM(2247,2254) = 723534
Factors of 2247
List of positive integer factors of 2247 that divides 2247 without a remainder.
1, 3, 7, 21, 107, 321, 749, 2247
Factors of 2254
List of positive integer factors of 2254 that divides 2254 without a remainder.
1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254
Least Common Multiple of 2247 and 2254 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2247 and 2254, than apply into the LCM equation.
GCF(2247,2254) = 7
LCM(2247,2254) = ( 2247 × 2254) / 7
LCM(2247,2254) = 5064738 / 7
LCM(2247,2254) = 723534
Properties of LCM 2247 and 2254
(i) The LCM of 2254 and 2247 is associative
LCM of 2247 and 2254 = LCM of 2254 and 2247
Related Least Common Multiples of 2247
Related Least Common Multiples of 2254
Frequently Asked Questions on LCM of 2247 and 2254
1. What is the LCM of 2247 and 2254?
Answer: LCM of 2247 and 2254 is 723534.
2. What are the Factors of 2247?
Answer: Factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247. There are 8 integers that are factors of 2247. The greatest factor of 2247 is 2247.
3. What are the Factors of 2254?
Answer: Factors of 2254 are 1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254. There are 12 integers that are factors of 2254. The greatest factor of 2254 is 2254.
4. How to Find the LCM of 2247 and 2254?
Answer:
Least Common Multiple of 2247 and 2254 = 723534
Step 1: Find the prime factorization of 2247
2247 = 3 x 7 x 107
Step 2: Find the prime factorization of 2254
2254 = 2 x 7 x 7 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 723534 = 2 x 3 x 7 x 7 x 23 x 107
Step 4: Therefore, the least common multiple of 2247 and 2254 is 723534.