Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1528 and 1535 the smallest integer that is 2345480 that is divisible by both numbers.
Least Common Multiple (LCM) of 1528 and 1535 is 2345480.
LCM(1528,1535) = 2345480
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 1528 and 1535. First we will calculate the prime factors of 1528 and 1535.
Prime Factorization of 1528
2 | 1528 |
2 | 764 |
2 | 382 |
191 | 191 |
1 |
Prime factors of 1528 are 2,191. Prime factorization of 1528 in exponential form is:
1528 = 23×1911
Prime Factorization of 1535
5 | 1535 |
307 | 307 |
1 |
Prime factors of 1535 are 5,307. Prime factorization of 1535 in exponential form is:
1535 = 51×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 1528 and 1535.
LCM(1528,1535) = 23×51×1911×3071
LCM(1528,1535) = 2345480
Factors of 1528
List of positive integer factors of 1528 that divides 1528 without a remainder.
1, 2, 4, 8, 191, 382, 764, 1528
Factors of 1535
List of positive integer factors of 1535 that divides 1535 without a remainder.
1, 5, 307, 1535
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1528 and 1535, than apply into the LCM equation.
GCF(1528,1535) = 1
LCM(1528,1535) = ( 1528 × 1535) / 1
LCM(1528,1535) = 2345480 / 1
LCM(1528,1535) = 2345480
(i) The LCM of 1535 and 1528 is associative
LCM of 1528 and 1535 = LCM of 1535 and 1528
1. What is the LCM of 1528 and 1535?
Answer: LCM of 1528 and 1535 is 2345480.
2. What are the Factors of 1528?
Answer: Factors of 1528 are 1, 2, 4, 8, 191, 382, 764, 1528. There are 8 integers that are factors of 1528. The greatest factor of 1528 is 1528.
3. What are the Factors of 1535?
Answer: Factors of 1535 are 1, 5, 307, 1535. There are 4 integers that are factors of 1535. The greatest factor of 1535 is 1535.
4. How to Find the LCM of 1528 and 1535?
Answer:
Least Common Multiple of 1528 and 1535 = 2345480
Step 1: Find the prime factorization of 1528
1528 = 2 x 2 x 2 x 191
Step 2: Find the prime factorization of 1535
1535 = 5 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2345480 = 2 x 2 x 2 x 5 x 191 x 307
Step 4: Therefore, the least common multiple of 1528 and 1535 is 2345480.