Least Common Multiple of 1529 and 1534
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1529 and 1534 the smallest integer that is 2345486 that is divisible by both numbers.
Least Common Multiple (LCM) of 1529 and 1534 is 2345486.
LCM(1529,1534) = 2345486
LCM of 1529 and 1534
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1529 and 1534 by Prime method
- Least Common Multiple of 1529 and 1534 with GCF Formula
LCM of 1529 and 1534 is 2345486
Least common multiple can be found by multiplying the highest exponent prime factors of 1529 and 1534. First we will calculate the prime factors of 1529 and 1534.
Prime Factorization of 1529
| 11 | 1529 |
| 139 | 139 |
| 1 |
Prime factors of 1529 are 11,139. Prime factorization of 1529 in exponential form is:
1529 = 111×1391
Prime Factorization of 1534
| 2 | 1534 |
| 13 | 767 |
| 59 | 59 |
| 1 |
Prime factors of 1534 are 2, 13,59. Prime factorization of 1534 in exponential form is:
1534 = 21×131×591
Now multiplying the highest exponent prime factors to calculate the LCM of 1529 and 1534.
LCM(1529,1534) = 21×111×131×591×1391
LCM(1529,1534) = 2345486
Factors of 1529
List of positive integer factors of 1529 that divides 1529 without a remainder.
1, 11, 139, 1529
Factors of 1534
List of positive integer factors of 1534 that divides 1534 without a remainder.
1, 2, 13, 26, 59, 118, 767, 1534
Least Common Multiple of 1529 and 1534 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1529 and 1534, than apply into the LCM equation.
GCF(1529,1534) = 1
LCM(1529,1534) = ( 1529 × 1534) / 1
LCM(1529,1534) = 2345486 / 1
LCM(1529,1534) = 2345486
Properties of LCM 1529 and 1534
(i) The LCM of 1534 and 1529 is associative
LCM of 1529 and 1534 = LCM of 1534 and 1529
Related Least Common Multiples of 1529
Related Least Common Multiples of 1534
Frequently Asked Questions on LCM of 1529 and 1534
1. What is the LCM of 1529 and 1534?
Answer: LCM of 1529 and 1534 is 2345486.
2. What are the Factors of 1529?
Answer: Factors of 1529 are 1, 11, 139, 1529. There are 4 integers that are factors of 1529. The greatest factor of 1529 is 1529.
3. What are the Factors of 1534?
Answer: Factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534. There are 8 integers that are factors of 1534. The greatest factor of 1534 is 1534.
4. How to Find the LCM of 1529 and 1534?
Answer:
Least Common Multiple of 1529 and 1534 = 2345486
Step 1: Find the prime factorization of 1529
1529 = 11 x 139
Step 2: Find the prime factorization of 1534
1534 = 2 x 13 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2345486 = 2 x 11 x 13 x 59 x 139
Step 4: Therefore, the least common multiple of 1529 and 1534 is 2345486.