Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2552 and 2557 the smallest integer that is 6525464 that is divisible by both numbers.
Least Common Multiple (LCM) of 2552 and 2557 is 6525464.
LCM(2552,2557) = 6525464
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 2552 and 2557. First we will calculate the prime factors of 2552 and 2557.
Prime Factorization of 2552
2 | 2552 |
2 | 1276 |
2 | 638 |
11 | 319 |
29 | 29 |
1 |
Prime factors of 2552 are 2, 11,29. Prime factorization of 2552 in exponential form is:
2552 = 23×111×291
Prime Factorization of 2557
2557 | 2557 |
1 |
Prime factors of 2557 are 2557. Prime factorization of 2557 in exponential form is:
2557 = 25571
Now multiplying the highest exponent prime factors to calculate the LCM of 2552 and 2557.
LCM(2552,2557) = 23×111×291×25571
LCM(2552,2557) = 6525464
Factors of 2552
List of positive integer factors of 2552 that divides 2552 without a remainder.
1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552
Factors of 2557
List of positive integer factors of 2557 that divides 2557 without a remainder.
1, 2557
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2552 and 2557, than apply into the LCM equation.
GCF(2552,2557) = 1
LCM(2552,2557) = ( 2552 × 2557) / 1
LCM(2552,2557) = 6525464 / 1
LCM(2552,2557) = 6525464
(i) The LCM of 2557 and 2552 is associative
LCM of 2552 and 2557 = LCM of 2557 and 2552
1. What is the LCM of 2552 and 2557?
Answer: LCM of 2552 and 2557 is 6525464.
2. What are the Factors of 2552?
Answer: Factors of 2552 are 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552. There are 16 integers that are factors of 2552. The greatest factor of 2552 is 2552.
3. What are the Factors of 2557?
Answer: Factors of 2557 are 1, 2557. There are 2 integers that are factors of 2557. The greatest factor of 2557 is 2557.
4. How to Find the LCM of 2552 and 2557?
Answer:
Least Common Multiple of 2552 and 2557 = 6525464
Step 1: Find the prime factorization of 2552
2552 = 2 x 2 x 2 x 11 x 29
Step 2: Find the prime factorization of 2557
2557 = 2557
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6525464 = 2 x 2 x 2 x 11 x 29 x 2557
Step 4: Therefore, the least common multiple of 2552 and 2557 is 6525464.