Least Common Multiple of 4518 and 4521
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4518 and 4521 the smallest integer that is 6808626 that is divisible by both numbers.
Least Common Multiple (LCM) of 4518 and 4521 is 6808626.
LCM(4518,4521) = 6808626
LCM of 4518 and 4521
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4518 and 4521 by Prime method
- Least Common Multiple of 4518 and 4521 with GCF Formula
LCM of 4518 and 4521 is 6808626
Least common multiple can be found by multiplying the highest exponent prime factors of 4518 and 4521. First we will calculate the prime factors of 4518 and 4521.
Prime Factorization of 4518
| 2 | 4518 |
| 3 | 2259 |
| 3 | 753 |
| 251 | 251 |
| 1 |
Prime factors of 4518 are 2, 3,251. Prime factorization of 4518 in exponential form is:
4518 = 21×32×2511
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4518 and 4521.
LCM(4518,4521) = 21×32×111×1371×2511
LCM(4518,4521) = 6808626
Factors of 4518
List of positive integer factors of 4518 that divides 4518 without a remainder.
1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518
Factors of 4521
List of positive integer factors of 4521 that divides 4521 without a remainder.
1, 3, 11, 33, 137, 411, 1507, 4521
Least Common Multiple of 4518 and 4521 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4518 and 4521, than apply into the LCM equation.
GCF(4518,4521) = 3
LCM(4518,4521) = ( 4518 × 4521) / 3
LCM(4518,4521) = 20425878 / 3
LCM(4518,4521) = 6808626
Properties of LCM 4518 and 4521
(i) The LCM of 4521 and 4518 is associative
LCM of 4518 and 4521 = LCM of 4521 and 4518
Related Least Common Multiples of 4518
Related Least Common Multiples of 4521
Frequently Asked Questions on LCM of 4518 and 4521
1. What is the LCM of 4518 and 4521?
Answer: LCM of 4518 and 4521 is 6808626.
2. What are the Factors of 4518?
Answer: Factors of 4518 are 1, 2, 3, 6, 9, 18, 251, 502, 753, 1506, 2259, 4518. There are 12 integers that are factors of 4518. The greatest factor of 4518 is 4518.
3. 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.
4. How to Find the LCM of 4518 and 4521?
Answer:
Least Common Multiple of 4518 and 4521 = 6808626
Step 1: Find the prime factorization of 4518
4518 = 2 x 3 x 3 x 251
Step 2: Find the prime factorization of 4521
4521 = 3 x 11 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6808626 = 2 x 3 x 3 x 11 x 137 x 251
Step 4: Therefore, the least common multiple of 4518 and 4521 is 6808626.