Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5265 and 5272 the smallest integer that is 27757080 that is divisible by both numbers.
Least Common Multiple (LCM) of 5265 and 5272 is 27757080.
LCM(5265,5272) = 27757080
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5265 and 5272. First we will calculate the prime factors of 5265 and 5272.
Prime Factorization of 5265
3 | 5265 |
3 | 1755 |
3 | 585 |
3 | 195 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 5265 are 3, 5,13. Prime factorization of 5265 in exponential form is:
5265 = 34×51×131
Prime Factorization of 5272
2 | 5272 |
2 | 2636 |
2 | 1318 |
659 | 659 |
1 |
Prime factors of 5272 are 2,659. Prime factorization of 5272 in exponential form is:
5272 = 23×6591
Now multiplying the highest exponent prime factors to calculate the LCM of 5265 and 5272.
LCM(5265,5272) = 23×34×51×131×6591
LCM(5265,5272) = 27757080
Factors of 5265
List of positive integer factors of 5265 that divides 5265 without a remainder.
1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265
Factors of 5272
List of positive integer factors of 5272 that divides 5272 without a remainder.
1, 2, 4, 8, 659, 1318, 2636, 5272
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5265 and 5272, than apply into the LCM equation.
GCF(5265,5272) = 1
LCM(5265,5272) = ( 5265 × 5272) / 1
LCM(5265,5272) = 27757080 / 1
LCM(5265,5272) = 27757080
(i) The LCM of 5272 and 5265 is associative
LCM of 5265 and 5272 = LCM of 5272 and 5265
1. What is the LCM of 5265 and 5272?
Answer: LCM of 5265 and 5272 is 27757080.
2. What are the Factors of 5265?
Answer: Factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265. There are 20 integers that are factors of 5265. The greatest factor of 5265 is 5265.
3. What are the Factors of 5272?
Answer: Factors of 5272 are 1, 2, 4, 8, 659, 1318, 2636, 5272. There are 8 integers that are factors of 5272. The greatest factor of 5272 is 5272.
4. How to Find the LCM of 5265 and 5272?
Answer:
Least Common Multiple of 5265 and 5272 = 27757080
Step 1: Find the prime factorization of 5265
5265 = 3 x 3 x 3 x 3 x 5 x 13
Step 2: Find the prime factorization of 5272
5272 = 2 x 2 x 2 x 659
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27757080 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 659
Step 4: Therefore, the least common multiple of 5265 and 5272 is 27757080.