Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1576 and 1581 the smallest integer that is 2491656 that is divisible by both numbers.
Least Common Multiple (LCM) of 1576 and 1581 is 2491656.
LCM(1576,1581) = 2491656
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 1576 and 1581. First we will calculate the prime factors of 1576 and 1581.
Prime Factorization of 1576
2 | 1576 |
2 | 788 |
2 | 394 |
197 | 197 |
1 |
Prime factors of 1576 are 2,197. Prime factorization of 1576 in exponential form is:
1576 = 23×1971
Prime Factorization of 1581
3 | 1581 |
17 | 527 |
31 | 31 |
1 |
Prime factors of 1581 are 3, 17,31. Prime factorization of 1581 in exponential form is:
1581 = 31×171×311
Now multiplying the highest exponent prime factors to calculate the LCM of 1576 and 1581.
LCM(1576,1581) = 23×31×171×311×1971
LCM(1576,1581) = 2491656
Factors of 1576
List of positive integer factors of 1576 that divides 1576 without a remainder.
1, 2, 4, 8, 197, 394, 788, 1576
Factors of 1581
List of positive integer factors of 1581 that divides 1581 without a remainder.
1, 3, 17, 31, 51, 93, 527, 1581
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1576 and 1581, than apply into the LCM equation.
GCF(1576,1581) = 1
LCM(1576,1581) = ( 1576 × 1581) / 1
LCM(1576,1581) = 2491656 / 1
LCM(1576,1581) = 2491656
(i) The LCM of 1581 and 1576 is associative
LCM of 1576 and 1581 = LCM of 1581 and 1576
1. What is the LCM of 1576 and 1581?
Answer: LCM of 1576 and 1581 is 2491656.
2. What are the Factors of 1576?
Answer: Factors of 1576 are 1, 2, 4, 8, 197, 394, 788, 1576. There are 8 integers that are factors of 1576. The greatest factor of 1576 is 1576.
3. What are the Factors of 1581?
Answer: Factors of 1581 are 1, 3, 17, 31, 51, 93, 527, 1581. There are 8 integers that are factors of 1581. The greatest factor of 1581 is 1581.
4. How to Find the LCM of 1576 and 1581?
Answer:
Least Common Multiple of 1576 and 1581 = 2491656
Step 1: Find the prime factorization of 1576
1576 = 2 x 2 x 2 x 197
Step 2: Find the prime factorization of 1581
1581 = 3 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2491656 = 2 x 2 x 2 x 3 x 17 x 31 x 197
Step 4: Therefore, the least common multiple of 1576 and 1581 is 2491656.