Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2528 and 2536 the smallest integer that is 801376 that is divisible by both numbers.
Least Common Multiple (LCM) of 2528 and 2536 is 801376.
LCM(2528,2536) = 801376
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 2528 and 2536. First we will calculate the prime factors of 2528 and 2536.
Prime Factorization of 2528
2 | 2528 |
2 | 1264 |
2 | 632 |
2 | 316 |
2 | 158 |
79 | 79 |
1 |
Prime factors of 2528 are 2,79. Prime factorization of 2528 in exponential form is:
2528 = 25×791
Prime Factorization of 2536
2 | 2536 |
2 | 1268 |
2 | 634 |
317 | 317 |
1 |
Prime factors of 2536 are 2,317. Prime factorization of 2536 in exponential form is:
2536 = 23×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 2528 and 2536.
LCM(2528,2536) = 25×791×3171
LCM(2528,2536) = 801376
Factors of 2528
List of positive integer factors of 2528 that divides 2528 without a remainder.
1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264, 2528
Factors of 2536
List of positive integer factors of 2536 that divides 2536 without a remainder.
1, 2, 4, 8, 317, 634, 1268, 2536
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2528 and 2536, than apply into the LCM equation.
GCF(2528,2536) = 8
LCM(2528,2536) = ( 2528 × 2536) / 8
LCM(2528,2536) = 6411008 / 8
LCM(2528,2536) = 801376
(i) The LCM of 2536 and 2528 is associative
LCM of 2528 and 2536 = LCM of 2536 and 2528
1. What is the LCM of 2528 and 2536?
Answer: LCM of 2528 and 2536 is 801376.
2. What are the Factors of 2528?
Answer: Factors of 2528 are 1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264, 2528. There are 12 integers that are factors of 2528. The greatest factor of 2528 is 2528.
3. What are the Factors of 2536?
Answer: Factors of 2536 are 1, 2, 4, 8, 317, 634, 1268, 2536. There are 8 integers that are factors of 2536. The greatest factor of 2536 is 2536.
4. How to Find the LCM of 2528 and 2536?
Answer:
Least Common Multiple of 2528 and 2536 = 801376
Step 1: Find the prime factorization of 2528
2528 = 2 x 2 x 2 x 2 x 2 x 79
Step 2: Find the prime factorization of 2536
2536 = 2 x 2 x 2 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 801376 = 2 x 2 x 2 x 2 x 2 x 79 x 317
Step 4: Therefore, the least common multiple of 2528 and 2536 is 801376.