Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5522 and 5528 the smallest integer that is 15262808 that is divisible by both numbers.
Least Common Multiple (LCM) of 5522 and 5528 is 15262808.
LCM(5522,5528) = 15262808
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 5522 and 5528. First we will calculate the prime factors of 5522 and 5528.
Prime Factorization of 5522
2 | 5522 |
11 | 2761 |
251 | 251 |
1 |
Prime factors of 5522 are 2, 11,251. Prime factorization of 5522 in exponential form is:
5522 = 21×111×2511
Prime Factorization of 5528
2 | 5528 |
2 | 2764 |
2 | 1382 |
691 | 691 |
1 |
Prime factors of 5528 are 2,691. Prime factorization of 5528 in exponential form is:
5528 = 23×6911
Now multiplying the highest exponent prime factors to calculate the LCM of 5522 and 5528.
LCM(5522,5528) = 23×111×2511×6911
LCM(5522,5528) = 15262808
Factors of 5522
List of positive integer factors of 5522 that divides 5522 without a remainder.
1, 2, 11, 22, 251, 502, 2761, 5522
Factors of 5528
List of positive integer factors of 5528 that divides 5528 without a remainder.
1, 2, 4, 8, 691, 1382, 2764, 5528
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5522 and 5528, than apply into the LCM equation.
GCF(5522,5528) = 2
LCM(5522,5528) = ( 5522 × 5528) / 2
LCM(5522,5528) = 30525616 / 2
LCM(5522,5528) = 15262808
(i) The LCM of 5528 and 5522 is associative
LCM of 5522 and 5528 = LCM of 5528 and 5522
1. What is the LCM of 5522 and 5528?
Answer: LCM of 5522 and 5528 is 15262808.
2. What are the Factors of 5522?
Answer: Factors of 5522 are 1, 2, 11, 22, 251, 502, 2761, 5522. There are 8 integers that are factors of 5522. The greatest factor of 5522 is 5522.
3. What are the Factors of 5528?
Answer: Factors of 5528 are 1, 2, 4, 8, 691, 1382, 2764, 5528. There are 8 integers that are factors of 5528. The greatest factor of 5528 is 5528.
4. How to Find the LCM of 5522 and 5528?
Answer:
Least Common Multiple of 5522 and 5528 = 15262808
Step 1: Find the prime factorization of 5522
5522 = 2 x 11 x 251
Step 2: Find the prime factorization of 5528
5528 = 2 x 2 x 2 x 691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 15262808 = 2 x 2 x 2 x 11 x 251 x 691
Step 4: Therefore, the least common multiple of 5522 and 5528 is 15262808.