Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4521 and 4528 the smallest integer that is 20471088 that is divisible by both numbers.
Least Common Multiple (LCM) of 4521 and 4528 is 20471088.
LCM(4521,4528) = 20471088
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 4521 and 4528. First we will calculate the prime factors of 4521 and 4528.
Prime Factorization of 4521
3 | 4521 |
11 | 1507 |
137 | 137 |
1 |
Prime factors of 4521 are 3, 11,137. Prime factorization of 4521 in exponential form is:
4521 = 31×111×1371
Prime Factorization of 4528
2 | 4528 |
2 | 2264 |
2 | 1132 |
2 | 566 |
283 | 283 |
1 |
Prime factors of 4528 are 2,283. Prime factorization of 4528 in exponential form is:
4528 = 24×2831
Now multiplying the highest exponent prime factors to calculate the LCM of 4521 and 4528.
LCM(4521,4528) = 24×31×111×1371×2831
LCM(4521,4528) = 20471088
Factors of 4521
List of positive integer factors of 4521 that divides 4521 without a remainder.
1, 3, 11, 33, 137, 411, 1507, 4521
Factors of 4528
List of positive integer factors of 4528 that divides 4528 without a remainder.
1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4521 and 4528, than apply into the LCM equation.
GCF(4521,4528) = 1
LCM(4521,4528) = ( 4521 × 4528) / 1
LCM(4521,4528) = 20471088 / 1
LCM(4521,4528) = 20471088
(i) The LCM of 4528 and 4521 is associative
LCM of 4521 and 4528 = LCM of 4528 and 4521
1. What is the LCM of 4521 and 4528?
Answer: LCM of 4521 and 4528 is 20471088.
2. What are the Factors of 4521?
Answer: Factors of 4521 are 1, 3, 11, 33, 137, 411, 1507, 4521. There are 8 integers that are factors of 4521. The greatest factor of 4521 is 4521.
3. What are the Factors of 4528?
Answer: Factors of 4528 are 1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528. There are 10 integers that are factors of 4528. The greatest factor of 4528 is 4528.
4. How to Find the LCM of 4521 and 4528?
Answer:
Least Common Multiple of 4521 and 4528 = 20471088
Step 1: Find the prime factorization of 4521
4521 = 3 x 11 x 137
Step 2: Find the prime factorization of 4528
4528 = 2 x 2 x 2 x 2 x 283
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20471088 = 2 x 2 x 2 x 2 x 3 x 11 x 137 x 283
Step 4: Therefore, the least common multiple of 4521 and 4528 is 20471088.