Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1571 and 1579 the smallest integer that is 2480609 that is divisible by both numbers.
Least Common Multiple (LCM) of 1571 and 1579 is 2480609.
LCM(1571,1579) = 2480609
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 1571 and 1579. First we will calculate the prime factors of 1571 and 1579.
Prime Factorization of 1571
1571 | 1571 |
1 |
Prime factors of 1571 are 1571. Prime factorization of 1571 in exponential form is:
1571 = 15711
Prime Factorization of 1579
1579 | 1579 |
1 |
Prime factors of 1579 are 1579. Prime factorization of 1579 in exponential form is:
1579 = 15791
Now multiplying the highest exponent prime factors to calculate the LCM of 1571 and 1579.
LCM(1571,1579) = 15711×15791
LCM(1571,1579) = 2480609
Factors of 1571
List of positive integer factors of 1571 that divides 1571 without a remainder.
1, 1571
Factors of 1579
List of positive integer factors of 1579 that divides 1579 without a remainder.
1, 1579
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1571 and 1579, than apply into the LCM equation.
GCF(1571,1579) = 1
LCM(1571,1579) = ( 1571 × 1579) / 1
LCM(1571,1579) = 2480609 / 1
LCM(1571,1579) = 2480609
(i) The LCM of 1579 and 1571 is associative
LCM of 1571 and 1579 = LCM of 1579 and 1571
1. What is the LCM of 1571 and 1579?
Answer: LCM of 1571 and 1579 is 2480609.
2. What are the Factors of 1571?
Answer: Factors of 1571 are 1, 1571. There are 2 integers that are factors of 1571. The greatest factor of 1571 is 1571.
3. What are the Factors of 1579?
Answer: Factors of 1579 are 1, 1579. There are 2 integers that are factors of 1579. The greatest factor of 1579 is 1579.
4. How to Find the LCM of 1571 and 1579?
Answer:
Least Common Multiple of 1571 and 1579 = 2480609
Step 1: Find the prime factorization of 1571
1571 = 1571
Step 2: Find the prime factorization of 1579
1579 = 1579
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2480609 = 1571 x 1579
Step 4: Therefore, the least common multiple of 1571 and 1579 is 2480609.