Least Common Multiple of 5270 and 5277
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5270 and 5277 the smallest integer that is 27809790 that is divisible by both numbers.
Least Common Multiple (LCM) of 5270 and 5277 is 27809790.
LCM(5270,5277) = 27809790
LCM of 5270 and 5277
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5270 and 5277 by Prime method
- Least Common Multiple of 5270 and 5277 with GCF Formula
LCM of 5270 and 5277 is 27809790
Least common multiple can be found by multiplying the highest exponent prime factors of 5270 and 5277. First we will calculate the prime factors of 5270 and 5277.
Prime Factorization of 5270
| 2 | 5270 |
| 5 | 2635 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 5270 are 2, 5, 17,31. Prime factorization of 5270 in exponential form is:
5270 = 21×51×171×311
Prime Factorization of 5277
| 3 | 5277 |
| 1759 | 1759 |
| 1 |
Prime factors of 5277 are 3,1759. Prime factorization of 5277 in exponential form is:
5277 = 31×17591
Now multiplying the highest exponent prime factors to calculate the LCM of 5270 and 5277.
LCM(5270,5277) = 21×31×51×171×311×17591
LCM(5270,5277) = 27809790
Factors of 5270
List of positive integer factors of 5270 that divides 5270 without a remainder.
1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270
Factors of 5277
List of positive integer factors of 5277 that divides 5277 without a remainder.
1, 3, 1759, 5277
Least Common Multiple of 5270 and 5277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5270 and 5277, than apply into the LCM equation.
GCF(5270,5277) = 1
LCM(5270,5277) = ( 5270 × 5277) / 1
LCM(5270,5277) = 27809790 / 1
LCM(5270,5277) = 27809790
Properties of LCM 5270 and 5277
(i) The LCM of 5277 and 5270 is associative
LCM of 5270 and 5277 = LCM of 5277 and 5270
Related Least Common Multiples of 5270
Related Least Common Multiples of 5277
Frequently Asked Questions on LCM of 5270 and 5277
1. What is the LCM of 5270 and 5277?
Answer: LCM of 5270 and 5277 is 27809790.
2. What are the Factors of 5270?
Answer: Factors of 5270 are 1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270. There are 16 integers that are factors of 5270. The greatest factor of 5270 is 5270.
3. What are the Factors of 5277?
Answer: Factors of 5277 are 1, 3, 1759, 5277. There are 4 integers that are factors of 5277. The greatest factor of 5277 is 5277.
4. How to Find the LCM of 5270 and 5277?
Answer:
Least Common Multiple of 5270 and 5277 = 27809790
Step 1: Find the prime factorization of 5270
5270 = 2 x 5 x 17 x 31
Step 2: Find the prime factorization of 5277
5277 = 3 x 1759
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27809790 = 2 x 3 x 5 x 17 x 31 x 1759
Step 4: Therefore, the least common multiple of 5270 and 5277 is 27809790.