Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5745 and 5749 the smallest integer that is 33028005 that is divisible by both numbers.
Least Common Multiple (LCM) of 5745 and 5749 is 33028005.
LCM(5745,5749) = 33028005
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 5745 and 5749. First we will calculate the prime factors of 5745 and 5749.
Prime Factorization of 5745
3 | 5745 |
5 | 1915 |
383 | 383 |
1 |
Prime factors of 5745 are 3, 5,383. Prime factorization of 5745 in exponential form is:
5745 = 31×51×3831
Prime Factorization of 5749
5749 | 5749 |
1 |
Prime factors of 5749 are 5749. Prime factorization of 5749 in exponential form is:
5749 = 57491
Now multiplying the highest exponent prime factors to calculate the LCM of 5745 and 5749.
LCM(5745,5749) = 31×51×3831×57491
LCM(5745,5749) = 33028005
Factors of 5745
List of positive integer factors of 5745 that divides 5745 without a remainder.
1, 3, 5, 15, 383, 1149, 1915, 5745
Factors of 5749
List of positive integer factors of 5749 that divides 5749 without a remainder.
1, 5749
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5745 and 5749, than apply into the LCM equation.
GCF(5745,5749) = 1
LCM(5745,5749) = ( 5745 × 5749) / 1
LCM(5745,5749) = 33028005 / 1
LCM(5745,5749) = 33028005
(i) The LCM of 5749 and 5745 is associative
LCM of 5745 and 5749 = LCM of 5749 and 5745
1. What is the LCM of 5745 and 5749?
Answer: LCM of 5745 and 5749 is 33028005.
2. What are the Factors of 5745?
Answer: Factors of 5745 are 1, 3, 5, 15, 383, 1149, 1915, 5745. There are 8 integers that are factors of 5745. The greatest factor of 5745 is 5745.
3. What are the Factors of 5749?
Answer: Factors of 5749 are 1, 5749. There are 2 integers that are factors of 5749. The greatest factor of 5749 is 5749.
4. How to Find the LCM of 5745 and 5749?
Answer:
Least Common Multiple of 5745 and 5749 = 33028005
Step 1: Find the prime factorization of 5745
5745 = 3 x 5 x 383
Step 2: Find the prime factorization of 5749
5749 = 5749
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33028005 = 3 x 5 x 383 x 5749
Step 4: Therefore, the least common multiple of 5745 and 5749 is 33028005.