Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2537 and 2544 the smallest integer that is 6454128 that is divisible by both numbers.
Least Common Multiple (LCM) of 2537 and 2544 is 6454128.
LCM(2537,2544) = 6454128
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 2537 and 2544. First we will calculate the prime factors of 2537 and 2544.
Prime Factorization of 2537
43 | 2537 |
59 | 59 |
1 |
Prime factors of 2537 are 43,59. Prime factorization of 2537 in exponential form is:
2537 = 431×591
Prime Factorization of 2544
2 | 2544 |
2 | 1272 |
2 | 636 |
2 | 318 |
3 | 159 |
53 | 53 |
1 |
Prime factors of 2544 are 2, 3,53. Prime factorization of 2544 in exponential form is:
2544 = 24×31×531
Now multiplying the highest exponent prime factors to calculate the LCM of 2537 and 2544.
LCM(2537,2544) = 24×31×431×531×591
LCM(2537,2544) = 6454128
Factors of 2537
List of positive integer factors of 2537 that divides 2537 without a remainder.
1, 43, 59, 2537
Factors of 2544
List of positive integer factors of 2544 that divides 2544 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272, 2544
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2537 and 2544, than apply into the LCM equation.
GCF(2537,2544) = 1
LCM(2537,2544) = ( 2537 × 2544) / 1
LCM(2537,2544) = 6454128 / 1
LCM(2537,2544) = 6454128
(i) The LCM of 2544 and 2537 is associative
LCM of 2537 and 2544 = LCM of 2544 and 2537
1. What is the LCM of 2537 and 2544?
Answer: LCM of 2537 and 2544 is 6454128.
2. What are the Factors of 2537?
Answer: Factors of 2537 are 1, 43, 59, 2537. There are 4 integers that are factors of 2537. The greatest factor of 2537 is 2537.
3. What are the Factors of 2544?
Answer: Factors of 2544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 53, 106, 159, 212, 318, 424, 636, 848, 1272, 2544. There are 20 integers that are factors of 2544. The greatest factor of 2544 is 2544.
4. How to Find the LCM of 2537 and 2544?
Answer:
Least Common Multiple of 2537 and 2544 = 6454128
Step 1: Find the prime factorization of 2537
2537 = 43 x 59
Step 2: Find the prime factorization of 2544
2544 = 2 x 2 x 2 x 2 x 3 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6454128 = 2 x 2 x 2 x 2 x 3 x 43 x 53 x 59
Step 4: Therefore, the least common multiple of 2537 and 2544 is 6454128.