Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1573 and 1576 the smallest integer that is 2479048 that is divisible by both numbers.
Least Common Multiple (LCM) of 1573 and 1576 is 2479048.
LCM(1573,1576) = 2479048
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 1573 and 1576. First we will calculate the prime factors of 1573 and 1576.
Prime Factorization of 1573
11 | 1573 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 1573 are 11,13. Prime factorization of 1573 in exponential form is:
1573 = 112×131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1573 and 1576.
LCM(1573,1576) = 23×112×131×1971
LCM(1573,1576) = 2479048
Factors of 1573
List of positive integer factors of 1573 that divides 1573 without a remainder.
1, 11, 13, 121, 143, 1573
Factors of 1576
List of positive integer factors of 1576 that divides 1576 without a remainder.
1, 2, 4, 8, 197, 394, 788, 1576
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1573 and 1576, than apply into the LCM equation.
GCF(1573,1576) = 1
LCM(1573,1576) = ( 1573 × 1576) / 1
LCM(1573,1576) = 2479048 / 1
LCM(1573,1576) = 2479048
(i) The LCM of 1576 and 1573 is associative
LCM of 1573 and 1576 = LCM of 1576 and 1573
1. What is the LCM of 1573 and 1576?
Answer: LCM of 1573 and 1576 is 2479048.
2. What are the Factors of 1573?
Answer: Factors of 1573 are 1, 11, 13, 121, 143, 1573. There are 6 integers that are factors of 1573. The greatest factor of 1573 is 1573.
3. 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.
4. How to Find the LCM of 1573 and 1576?
Answer:
Least Common Multiple of 1573 and 1576 = 2479048
Step 1: Find the prime factorization of 1573
1573 = 11 x 11 x 13
Step 2: Find the prime factorization of 1576
1576 = 2 x 2 x 2 x 197
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2479048 = 2 x 2 x 2 x 11 x 11 x 13 x 197
Step 4: Therefore, the least common multiple of 1573 and 1576 is 2479048.