Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1523 and 1529 the smallest integer that is 2328667 that is divisible by both numbers.
Least Common Multiple (LCM) of 1523 and 1529 is 2328667.
LCM(1523,1529) = 2328667
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 1523 and 1529. First we will calculate the prime factors of 1523 and 1529.
Prime Factorization of 1523
1523 | 1523 |
1 |
Prime factors of 1523 are 1523. Prime factorization of 1523 in exponential form is:
1523 = 15231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1523 and 1529.
LCM(1523,1529) = 111×1391×15231
LCM(1523,1529) = 2328667
Factors of 1523
List of positive integer factors of 1523 that divides 1523 without a remainder.
1, 1523
Factors of 1529
List of positive integer factors of 1529 that divides 1529 without a remainder.
1, 11, 139, 1529
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1523 and 1529, than apply into the LCM equation.
GCF(1523,1529) = 1
LCM(1523,1529) = ( 1523 × 1529) / 1
LCM(1523,1529) = 2328667 / 1
LCM(1523,1529) = 2328667
(i) The LCM of 1529 and 1523 is associative
LCM of 1523 and 1529 = LCM of 1529 and 1523
1. What is the LCM of 1523 and 1529?
Answer: LCM of 1523 and 1529 is 2328667.
2. What are the Factors of 1523?
Answer: Factors of 1523 are 1, 1523. There are 2 integers that are factors of 1523. The greatest factor of 1523 is 1523.
3. 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.
4. How to Find the LCM of 1523 and 1529?
Answer:
Least Common Multiple of 1523 and 1529 = 2328667
Step 1: Find the prime factorization of 1523
1523 = 1523
Step 2: Find the prime factorization of 1529
1529 = 11 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2328667 = 11 x 139 x 1523
Step 4: Therefore, the least common multiple of 1523 and 1529 is 2328667.