Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2572 and 2580 the smallest integer that is 1658940 that is divisible by both numbers.
Least Common Multiple (LCM) of 2572 and 2580 is 1658940.
LCM(2572,2580) = 1658940
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 2572 and 2580. First we will calculate the prime factors of 2572 and 2580.
Prime Factorization of 2572
2 | 2572 |
2 | 1286 |
643 | 643 |
1 |
Prime factors of 2572 are 2,643. Prime factorization of 2572 in exponential form is:
2572 = 22×6431
Prime Factorization of 2580
2 | 2580 |
2 | 1290 |
3 | 645 |
5 | 215 |
43 | 43 |
1 |
Prime factors of 2580 are 2, 3, 5,43. Prime factorization of 2580 in exponential form is:
2580 = 22×31×51×431
Now multiplying the highest exponent prime factors to calculate the LCM of 2572 and 2580.
LCM(2572,2580) = 22×31×51×431×6431
LCM(2572,2580) = 1658940
Factors of 2572
List of positive integer factors of 2572 that divides 2572 without a remainder.
1, 2, 4, 643, 1286, 2572
Factors of 2580
List of positive integer factors of 2580 that divides 2580 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290, 2580
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2572 and 2580, than apply into the LCM equation.
GCF(2572,2580) = 4
LCM(2572,2580) = ( 2572 × 2580) / 4
LCM(2572,2580) = 6635760 / 4
LCM(2572,2580) = 1658940
(i) The LCM of 2580 and 2572 is associative
LCM of 2572 and 2580 = LCM of 2580 and 2572
1. What is the LCM of 2572 and 2580?
Answer: LCM of 2572 and 2580 is 1658940.
2. What are the Factors of 2572?
Answer: Factors of 2572 are 1, 2, 4, 643, 1286, 2572. There are 6 integers that are factors of 2572. The greatest factor of 2572 is 2572.
3. What are the Factors of 2580?
Answer: Factors of 2580 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 43, 60, 86, 129, 172, 215, 258, 430, 516, 645, 860, 1290, 2580. There are 24 integers that are factors of 2580. The greatest factor of 2580 is 2580.
4. How to Find the LCM of 2572 and 2580?
Answer:
Least Common Multiple of 2572 and 2580 = 1658940
Step 1: Find the prime factorization of 2572
2572 = 2 x 2 x 643
Step 2: Find the prime factorization of 2580
2580 = 2 x 2 x 3 x 5 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1658940 = 2 x 2 x 3 x 5 x 43 x 643
Step 4: Therefore, the least common multiple of 2572 and 2580 is 1658940.