Least Common Multiple (LCM) of 136 and 56
The least common multiple (LCM) of 136 and 56 is 952.
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 56?
First, calculate the GCD of 136 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 56 = 2 remainder 24 |
| 2 | 56 ÷ 24 = 2 remainder 8 |
| 3 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 35 | 1295 |
| 40 and 68 | 680 |
| 53 and 144 | 7632 |
| 172 and 26 | 2236 |
| 56 and 113 | 6328 |