Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 556 and 557 the smallest integer that is 309692 that is divisible by both numbers.
Least Common Multiple (LCM) of 556 and 557 is 309692.
LCM(556,557) = 309692
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 556 and 557. First we will calculate the prime factors of 556 and 557.
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
Prime Factorization of 557
557 | 557 |
1 |
Prime factors of 557 are 557. Prime factorization of 557 in exponential form is:
557 = 5571
Now multiplying the highest exponent prime factors to calculate the LCM of 556 and 557.
LCM(556,557) = 22×1391×5571
LCM(556,557) = 309692
Factors of 556
List of positive integer factors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1, 557
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 556 and 557, than apply into the LCM equation.
GCF(556,557) = 1
LCM(556,557) = ( 556 × 557) / 1
LCM(556,557) = 309692 / 1
LCM(556,557) = 309692
(i) The LCM of 557 and 556 is associative
LCM of 556 and 557 = LCM of 557 and 556
1. What is the LCM of 556 and 557?
Answer: LCM of 556 and 557 is 309692.
2. 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.
3. What are the Factors of 557?
Answer: Factors of 557 are 1, 557. There are 2 integers that are factors of 557. The greatest factor of 557 is 557.
4. How to Find the LCM of 556 and 557?
Answer:
Least Common Multiple of 556 and 557 = 309692
Step 1: Find the prime factorization of 556
556 = 2 x 2 x 139
Step 2: Find the prime factorization of 557
557 = 557
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 309692 = 2 x 2 x 139 x 557
Step 4: Therefore, the least common multiple of 556 and 557 is 309692.