Least Common Multiple of 5237 and 5244
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5237 and 5244 the smallest integer that is 27462828 that is divisible by both numbers.
Least Common Multiple (LCM) of 5237 and 5244 is 27462828.
LCM(5237,5244) = 27462828
LCM of 5237 and 5244
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5237 and 5244 by Prime method
- Least Common Multiple of 5237 and 5244 with GCF Formula
LCM of 5237 and 5244 is 27462828
Least common multiple can be found by multiplying the highest exponent prime factors of 5237 and 5244. First we will calculate the prime factors of 5237 and 5244.
Prime Factorization of 5237
| 5237 | 5237 |
| 1 |
Prime factors of 5237 are 5237. Prime factorization of 5237 in exponential form is:
5237 = 52371
Prime Factorization of 5244
| 2 | 5244 |
| 2 | 2622 |
| 3 | 1311 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 5244 are 2, 3, 19,23. Prime factorization of 5244 in exponential form is:
5244 = 22×31×191×231
Now multiplying the highest exponent prime factors to calculate the LCM of 5237 and 5244.
LCM(5237,5244) = 22×31×191×231×52371
LCM(5237,5244) = 27462828
Factors of 5237
List of positive integer factors of 5237 that divides 5237 without a remainder.
1, 5237
Factors of 5244
List of positive integer factors of 5244 that divides 5244 without a remainder.
1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244
Least Common Multiple of 5237 and 5244 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5237 and 5244, than apply into the LCM equation.
GCF(5237,5244) = 1
LCM(5237,5244) = ( 5237 × 5244) / 1
LCM(5237,5244) = 27462828 / 1
LCM(5237,5244) = 27462828
Properties of LCM 5237 and 5244
(i) The LCM of 5244 and 5237 is associative
LCM of 5237 and 5244 = LCM of 5244 and 5237
Related Least Common Multiples of 5237
Related Least Common Multiples of 5244
Frequently Asked Questions on LCM of 5237 and 5244
1. What is the LCM of 5237 and 5244?
Answer: LCM of 5237 and 5244 is 27462828.
2. What are the Factors of 5237?
Answer: Factors of 5237 are 1, 5237. There are 2 integers that are factors of 5237. The greatest factor of 5237 is 5237.
3. What are the Factors of 5244?
Answer: Factors of 5244 are 1, 2, 3, 4, 6, 12, 19, 23, 38, 46, 57, 69, 76, 92, 114, 138, 228, 276, 437, 874, 1311, 1748, 2622, 5244. There are 24 integers that are factors of 5244. The greatest factor of 5244 is 5244.
4. How to Find the LCM of 5237 and 5244?
Answer:
Least Common Multiple of 5237 and 5244 = 27462828
Step 1: Find the prime factorization of 5237
5237 = 5237
Step 2: Find the prime factorization of 5244
5244 = 2 x 2 x 3 x 19 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 = 27462828 = 2 x 2 x 3 x 19 x 23 x 5237
Step 4: Therefore, the least common multiple of 5237 and 5244 is 27462828.