Least Common Multiple (LCM) of 136 and 24
The least common multiple (LCM) of 136 and 24 is 408.
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 24?
First, calculate the GCD of 136 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 24 = 5 remainder 16 |
| 2 | 24 ÷ 16 = 1 remainder 8 |
| 3 | 16 ÷ 8 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 200 | 35400 |
| 59 and 22 | 1298 |
| 118 and 77 | 9086 |
| 157 and 97 | 15229 |
| 185 and 106 | 19610 |