Least Common Multiple (LCM) of 136 and 176
The least common multiple (LCM) of 136 and 176 is 2992.
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 136 and 176?
First, calculate the GCD of 136 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 176 = 0 remainder 136 |
| 2 | 176 ÷ 136 = 1 remainder 40 |
| 3 | 136 ÷ 40 = 3 remainder 16 |
| 4 | 40 ÷ 16 = 2 remainder 8 |
| 5 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 20 | 2660 |
| 155 and 79 | 12245 |
| 168 and 145 | 24360 |
| 141 and 113 | 15933 |
| 154 and 180 | 13860 |