Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 555 and 556 the smallest integer that is 308580 that is divisible by both numbers.
Least Common Multiple (LCM) of 555 and 556 is 308580.
LCM(555,556) = 308580
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 555 and 556. First we will calculate the prime factors of 555 and 556.
Prime Factorization of 555
3 | 555 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 555 are 3, 5,37. Prime factorization of 555 in exponential form is:
555 = 31×51×371
Prime Factorization of 556
2 | 556 |
2 | 278 |
139 | 139 |
1 |
Prime factors of 556 are 2,139. Prime factorization of 556 in exponential form is:
556 = 22×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 555 and 556.
LCM(555,556) = 22×31×51×371×1391
LCM(555,556) = 308580
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 555 and 556, than apply into the LCM equation.
GCF(555,556) = 1
LCM(555,556) = ( 555 × 556) / 1
LCM(555,556) = 308580 / 1
LCM(555,556) = 308580
(i) The LCM of 556 and 555 is associative
LCM of 555 and 556 = LCM of 556 and 555
1. What is the LCM of 555 and 556?
Answer: LCM of 555 and 556 is 308580.
2. What are the Factors of 555?
Answer: Factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555. There are 8 integers that are factors of 555. The greatest factor of 555 is 555.
3. What are the Factors of 556?
Answer: Factors of 556 are 1, 2, 4, 139, 278, 556. There are 6 integers that are factors of 556. The greatest factor of 556 is 556.
4. How to Find the LCM of 555 and 556?
Answer:
Least Common Multiple of 555 and 556 = 308580
Step 1: Find the prime factorization of 555
555 = 3 x 5 x 37
Step 2: Find the prime factorization of 556
556 = 2 x 2 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 308580 = 2 x 2 x 3 x 5 x 37 x 139
Step 4: Therefore, the least common multiple of 555 and 556 is 308580.