Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7554 and 7559 the smallest integer that is 57100686 that is divisible by both numbers.
Least Common Multiple (LCM) of 7554 and 7559 is 57100686.
LCM(7554,7559) = 57100686
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 7554 and 7559. First we will calculate the prime factors of 7554 and 7559.
Prime Factorization of 7554
2 | 7554 |
3 | 3777 |
1259 | 1259 |
1 |
Prime factors of 7554 are 2, 3,1259. Prime factorization of 7554 in exponential form is:
7554 = 21×31×12591
Prime Factorization of 7559
7559 | 7559 |
1 |
Prime factors of 7559 are 7559. Prime factorization of 7559 in exponential form is:
7559 = 75591
Now multiplying the highest exponent prime factors to calculate the LCM of 7554 and 7559.
LCM(7554,7559) = 21×31×12591×75591
LCM(7554,7559) = 57100686
Factors of 7554
List of positive integer factors of 7554 that divides 7554 without a remainder.
1, 2, 3, 6, 1259, 2518, 3777, 7554
Factors of 7559
List of positive integer factors of 7559 that divides 7559 without a remainder.
1, 7559
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7554 and 7559, than apply into the LCM equation.
GCF(7554,7559) = 1
LCM(7554,7559) = ( 7554 × 7559) / 1
LCM(7554,7559) = 57100686 / 1
LCM(7554,7559) = 57100686
(i) The LCM of 7559 and 7554 is associative
LCM of 7554 and 7559 = LCM of 7559 and 7554
1. What is the LCM of 7554 and 7559?
Answer: LCM of 7554 and 7559 is 57100686.
2. What are the Factors of 7554?
Answer: Factors of 7554 are 1, 2, 3, 6, 1259, 2518, 3777, 7554. There are 8 integers that are factors of 7554. The greatest factor of 7554 is 7554.
3. What are the Factors of 7559?
Answer: Factors of 7559 are 1, 7559. There are 2 integers that are factors of 7559. The greatest factor of 7559 is 7559.
4. How to Find the LCM of 7554 and 7559?
Answer:
Least Common Multiple of 7554 and 7559 = 57100686
Step 1: Find the prime factorization of 7554
7554 = 2 x 3 x 1259
Step 2: Find the prime factorization of 7559
7559 = 7559
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57100686 = 2 x 3 x 1259 x 7559
Step 4: Therefore, the least common multiple of 7554 and 7559 is 57100686.