Least Common Multiple (LCM) of 55 and 136
The least common multiple (LCM) of 55 and 136 is 7480.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 55 and 136?
First, calculate the GCD of 55 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 55 ÷ 136 = 0 remainder 55 |
| 2 | 136 ÷ 55 = 2 remainder 26 |
| 3 | 55 ÷ 26 = 2 remainder 3 |
| 4 | 26 ÷ 3 = 8 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 86 | 12986 |
| 183 and 141 | 8601 |
| 117 and 99 | 1287 |
| 171 and 130 | 22230 |
| 53 and 28 | 1484 |