Least Common Multiple of 1521 and 1522
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1521 and 1522 the smallest integer that is 2314962 that is divisible by both numbers.
Least Common Multiple (LCM) of 1521 and 1522 is 2314962.
LCM(1521,1522) = 2314962
LCM of 1521 and 1522
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1521 and 1522 by Prime method
- Least Common Multiple of 1521 and 1522 with GCF Formula
LCM of 1521 and 1522 is 2314962
Least common multiple can be found by multiplying the highest exponent prime factors of 1521 and 1522. First we will calculate the prime factors of 1521 and 1522.
Prime Factorization of 1521
| 3 | 1521 |
| 3 | 507 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 1521 are 3,13. Prime factorization of 1521 in exponential form is:
1521 = 32×132
Prime Factorization of 1522
| 2 | 1522 |
| 761 | 761 |
| 1 |
Prime factors of 1522 are 2,761. Prime factorization of 1522 in exponential form is:
1522 = 21×7611
Now multiplying the highest exponent prime factors to calculate the LCM of 1521 and 1522.
LCM(1521,1522) = 21×32×132×7611
LCM(1521,1522) = 2314962
Factors of 1521
List of positive integer factors of 1521 that divides 1521 without a remainder.
1, 3, 9, 13, 39, 117, 169, 507, 1521
Factors of 1522
List of positive integer factors of 1522 that divides 1522 without a remainder.
1, 2, 761, 1522
Least Common Multiple of 1521 and 1522 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1521 and 1522, than apply into the LCM equation.
GCF(1521,1522) = 1
LCM(1521,1522) = ( 1521 × 1522) / 1
LCM(1521,1522) = 2314962 / 1
LCM(1521,1522) = 2314962
Properties of LCM 1521 and 1522
(i) The LCM of 1522 and 1521 is associative
LCM of 1521 and 1522 = LCM of 1522 and 1521
Related Least Common Multiples of 1521
Related Least Common Multiples of 1522
Frequently Asked Questions on LCM of 1521 and 1522
1. What is the LCM of 1521 and 1522?
Answer: LCM of 1521 and 1522 is 2314962.
2. What are the Factors of 1521?
Answer: Factors of 1521 are 1, 3, 9, 13, 39, 117, 169, 507, 1521. There are 9 integers that are factors of 1521. The greatest factor of 1521 is 1521.
3. What are the Factors of 1522?
Answer: Factors of 1522 are 1, 2, 761, 1522. There are 4 integers that are factors of 1522. The greatest factor of 1522 is 1522.
4. How to Find the LCM of 1521 and 1522?
Answer:
Least Common Multiple of 1521 and 1522 = 2314962
Step 1: Find the prime factorization of 1521
1521 = 3 x 3 x 13 x 13
Step 2: Find the prime factorization of 1522
1522 = 2 x 761
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2314962 = 2 x 3 x 3 x 13 x 13 x 761
Step 4: Therefore, the least common multiple of 1521 and 1522 is 2314962.