Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 554 and 562 the smallest integer that is 155674 that is divisible by both numbers.
Least Common Multiple (LCM) of 554 and 562 is 155674.
LCM(554,562) = 155674
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 554 and 562. First we will calculate the prime factors of 554 and 562.
Prime Factorization of 554
2 | 554 |
277 | 277 |
1 |
Prime factors of 554 are 2,277. Prime factorization of 554 in exponential form is:
554 = 21×2771
Prime Factorization of 562
2 | 562 |
281 | 281 |
1 |
Prime factors of 562 are 2,281. Prime factorization of 562 in exponential form is:
562 = 21×2811
Now multiplying the highest exponent prime factors to calculate the LCM of 554 and 562.
LCM(554,562) = 21×2771×2811
LCM(554,562) = 155674
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1, 2, 281, 562
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 554 and 562, than apply into the LCM equation.
GCF(554,562) = 2
LCM(554,562) = ( 554 × 562) / 2
LCM(554,562) = 311348 / 2
LCM(554,562) = 155674
(i) The LCM of 562 and 554 is associative
LCM of 554 and 562 = LCM of 562 and 554
1. What is the LCM of 554 and 562?
Answer: LCM of 554 and 562 is 155674.
2. What are the Factors of 554?
Answer: Factors of 554 are 1, 2, 277, 554. There are 4 integers that are factors of 554. The greatest factor of 554 is 554.
3. What are the Factors of 562?
Answer: Factors of 562 are 1, 2, 281, 562. There are 4 integers that are factors of 562. The greatest factor of 562 is 562.
4. How to Find the LCM of 554 and 562?
Answer:
Least Common Multiple of 554 and 562 = 155674
Step 1: Find the prime factorization of 554
554 = 2 x 277
Step 2: Find the prime factorization of 562
562 = 2 x 281
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 155674 = 2 x 277 x 281
Step 4: Therefore, the least common multiple of 554 and 562 is 155674.